<?xml version="1.0" encoding="US-ASCII"?>
<!-- Generated by DFIN XBRL Schema Document - http://www.dfinsolutions.com/ - on 03-03-2026 05:37:27 AM -->
<!-- Copyright(c) 2026 Donnelley Financial Solutions, Inc. All Rights Reserved. -->
<schema targetNamespace="http://www.blackrock.com/20260226" xmlns="http://www.w3.org/2001/XMLSchema" xmlns:bifi="http://www.blackrock.com/20260226" xmlns:dei="http://xbrl.sec.gov/dei/2025" xmlns:srt-types="http://fasb.org/srt-types/2025" xmlns:deprecated="http://www.xbrl.org/2009/role/deprecated" xmlns:dtr="http://www.xbrl.org/2009/dtr" xmlns:oef="http://xbrl.sec.gov/oef/2025" xmlns:ref="http://www.xbrl.org/2006/ref" xmlns:xbrldt="http://xbrl.org/2005/xbrldt" xmlns:xl="http://www.xbrl.org/2003/XLink" xmlns:us-gaap="http://fasb.org/us-gaap/2025" xmlns:oef-pre="http://xbrl.sec.gov/oef-pre/2025" xmlns:oef-lab="http://xbrl.sec.gov/oef-lab/2025" xmlns:link="http://www.xbrl.org/2003/linkbase" xmlns:country="http://xbrl.sec.gov/country/2025" xmlns:us-roles="http://fasb.org/us-roles/2025" xmlns:enum2="http://xbrl.org/2020/extensible-enumerations-2.0" xmlns:us-types="http://fasb.org/us-types/2025" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:dtr-types="http://www.xbrl.org/dtr/type/2024-01-31" xmlns:oef-def="http://xbrl.sec.gov/oef-def/2025" xmlns:negated="http://www.xbrl.org/2009/role/negated" xmlns:xbrldi="http://xbrl.org/2006/xbrldi" xmlns:srt="http://fasb.org/srt/2025" xmlns:oef-sr="http://xbrl.sec.gov/oef-sr/2025" xmlns:srt-roles="http://fasb.org/srt-roles/2025" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xmlns:xbrli="http://www.xbrl.org/2003/instance" xmlns:stpr="http://xbrl.sec.gov/stpr/2025" elementFormDefault="qualified">
   <import namespace="http://www.xbrl.org/2003/instance" schemaLocation="http://www.xbrl.org/2003/xbrl-instance-2003-12-31.xsd"/>
   <import namespace="http://www.xbrl.org/2003/linkbase" schemaLocation="http://www.xbrl.org/2003/xbrl-linkbase-2003-12-31.xsd"/>
   <import namespace="http://xbrl.sec.gov/dei/2025" schemaLocation="https://xbrl.sec.gov/dei/2025/dei-2025.xsd"/>
   <import namespace="http://fasb.org/us-types/2025" schemaLocation="https://xbrl.fasb.org/us-gaap/2025/elts/us-types-2025.xsd"/>
   <import namespace="http://www.xbrl.org/dtr/type/2024-01-31" schemaLocation="https://www.xbrl.org/dtr/type/2024-01-31/types.xsd"/>   
   <import namespace="http://xbrl.sec.gov/country/2025" schemaLocation="https://xbrl.sec.gov/country/2025/country-2025.xsd"/>
   <import namespace="http://fasb.org/srt/2025" schemaLocation="https://xbrl.fasb.org/srt/2025/elts/srt-2025.xsd"/>
   <import namespace="http://fasb.org/srt-types/2025" schemaLocation="https://xbrl.fasb.org/srt/2025/elts/srt-types-2025.xsd"/>
   <import namespace="http://xbrl.sec.gov/oef-sr/2025" schemaLocation="https://xbrl.sec.gov/oef/2025/oef-sr-2025.xsd"/>
   <import namespace="http://fasb.org/us-gaap/2025" schemaLocation="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd"/>
   <import namespace="http://fasb.org/us-roles/2025" schemaLocation="https://xbrl.fasb.org/us-gaap/2025/elts/us-roles-2025.xsd"/>
   <import namespace="http://fasb.org/srt-roles/2025" schemaLocation="https://xbrl.fasb.org/srt/2025/elts/srt-roles-2025.xsd"/>
   <annotation>
      <appinfo>
         <link:linkbase id="lnk">
            <link:arcroleRef arcroleURI="http://xbrl.org/int/dim/arcrole/domain-member" xlink:type="simple" xlink:href="http://www.xbrl.org/2005/xbrldt-2005.xsd#domain-member"/>
            <link:roleRef roleURI="http://xbrl.sec.gov/oef/role/ShareholderReport" xlink:type="simple" xlink:href="https://xbrl.sec.gov/oef/2025/oef-2025.xsd#ShareholderReport"/>
            <link:roleRef roleURI="http://xbrl.sec.gov/oef/role/ShareholderReportHoldingsDetails" xlink:type="simple" xlink:href="https://xbrl.sec.gov/oef/2025/oef-2025.xsd#ShareholderReportHoldingsDetails"/>
            <link:roleRef roleURI="http://xbrl.sec.gov/oef/role/ShareholderReportLineGraphDetails" xlink:type="simple" xlink:href="https://xbrl.sec.gov/oef/2025/oef-2025.xsd#ShareholderReportLineGraphDetails"/>
            <link:roleRef roleURI="http://xbrl.sec.gov/oef/role/ShareholderReportAverageAnnualReturnDetails" xlink:type="simple" xlink:href="https://xbrl.sec.gov/oef/2025/oef-2025.xsd#ShareholderReportAverageAnnualReturnDetails"/>
            <link:roleRef roleURI="http://xbrl.sec.gov/oef/role/ClassOnly" xlink:type="simple" xlink:href="https://xbrl.sec.gov/oef/2025/oef-2025.xsd#ClassOnly"/>
            <link:roleRef roleURI="http://fasb.org/us-gaap/role/eedm/ExtensibleEnumerationLists" xlink:type="simple" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-roles-2025.xsd#eedm"/>
            <link:roleRef roleURI="http://xbrl.sec.gov/oef/role/LargestHoldingOnly" xlink:type="simple" xlink:href="https://xbrl.sec.gov/oef/2025/oef-2025.xsd#LargestHoldingOnly"/>
            <link:roleRef roleURI="http://xbrl.sec.gov/oef/role/Other1CategoryOnly" xlink:type="simple" xlink:href="https://xbrl.sec.gov/oef/2025/oef-2025.xsd#Other1CategoryOnly"/>
            <link:roleRef roleURI="http://xbrl.sec.gov/oef/role/AdditionalIndexOnly" xlink:type="simple" xlink:href="https://xbrl.sec.gov/oef/2025/oef-2025.xsd#AdditionalIndexOnly"/>
            <link:roleRef roleURI="http://xbrl.sec.gov/oef/role/BroadBasedIndexOnly" xlink:type="simple" xlink:href="https://xbrl.sec.gov/oef/2025/oef-2025.xsd#BroadBasedIndexOnly"/>
            <link:roleRef roleURI="http://xbrl.sec.gov/oef/role/Other2CategoryOnly" xlink:type="simple" xlink:href="https://xbrl.sec.gov/oef/2025/oef-2025.xsd#Other2CategoryOnly"/>
            <link:roleRef roleURI="http://xbrl.sec.gov/oef/role/SalesLoadOnly" xlink:type="simple" xlink:href="https://xbrl.sec.gov/oef/2025/oef-2025.xsd#SalesLoadOnly"/>
            <link:roleRef roleURI="http://xbrl.sec.gov/oef/role/MaturityOnly" xlink:type="simple" xlink:href="https://xbrl.sec.gov/oef/2025/oef-2025.xsd#MaturityOnly"/>
            <link:roleRef roleURI="http://xbrl.sec.gov/oef/role/IndustrySectorOnly" xlink:type="simple" xlink:href="https://xbrl.sec.gov/oef/2025/oef-2025.xsd#IndustrySectorOnly"/>
            <link:roleRef roleURI="http://xbrl.sec.gov/oef/role/CreditQualityOnly" xlink:type="simple" xlink:href="https://xbrl.sec.gov/oef/2025/oef-2025.xsd#CreditQualityOnly"/>
            <link:roleRef roleURI="http://xbrl.sec.gov/oef/role/GeographicRegionOnly" xlink:type="simple" xlink:href="https://xbrl.sec.gov/oef/2025/oef-2025.xsd#GeographicRegionOnly"/>
         <link:presentationLink xlink:type="extended" xlink:role="http://xbrl.sec.gov/oef/role/ShareholderReport">              
			<link:loc xlink:type="locator" xlink:href="https://xbrl.sec.gov/oef/2025/oef-2025.xsd#oef_ShareClassDomain" xlink:label="ShareClassDomain"/>
			<link:loc xlink:type="locator" xlink:href="#bifi_C000099168Member" xlink:label="C000099168Member"/>
					<link:presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="ShareClassDomain" xlink:to="C000099168Member" order="2.0" />
					<link:loc xlink:type="locator" xlink:href="#bifi_C000244427Member" xlink:label="C000244427Member"/>
					<link:presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="ShareClassDomain" xlink:to="C000244427Member" order="3.0" />
					<link:loc xlink:type="locator" xlink:href="#bifi_C000201956Member" xlink:label="C000201956Member"/>
					<link:presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="ShareClassDomain" xlink:to="C000201956Member" order="4.0" />
					<link:loc xlink:type="locator" xlink:href="#bifi_C000008447Member" xlink:label="C000008447Member"/>
					<link:presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="ShareClassDomain" xlink:to="C000008447Member" order="5.0" />
					<link:loc xlink:type="locator" xlink:href="#bifi_C000008448Member" xlink:label="C000008448Member"/>
					<link:presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="ShareClassDomain" xlink:to="C000008448Member" order="6.0" />
					<link:loc xlink:type="locator" xlink:href="#bifi_C000008452Member" xlink:label="C000008452Member"/>
					<link:presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="ShareClassDomain" xlink:to="C000008452Member" order="7.0" />
					<link:loc xlink:type="locator" xlink:href="#bifi_C000008451Member" xlink:label="C000008451Member"/>
					<link:presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="ShareClassDomain" xlink:to="C000008451Member" order="8.0" />
					<link:loc xlink:type="locator" xlink:href="#bifi_C000201957Member" xlink:label="C000201957Member"/>
					<link:presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="ShareClassDomain" xlink:to="C000201957Member" order="9.0" />
					<link:loc xlink:type="locator" xlink:href="#bifi_C000099169Member" xlink:label="C000099169Member"/>
					<link:presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="ShareClassDomain" xlink:to="C000099169Member" order="10.0" />

			</link:presentationLink>
            <link:presentationLink xlink:type="extended" xlink:role="http://xbrl.sec.gov/oef/role/ShareholderReportHoldingsDetails">               
			 <link:loc xlink:type="locator" xlink:href="https://xbrl.sec.gov/oef/2025/oef-2025.xsd#oef_ShareClassDomain" xlink:label="ShareClassDomain"/>
			 <link:loc xlink:type="locator" xlink:href="#bifi_C000099168Member" xlink:label="C000099168Member"/>
					<link:presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="ShareClassDomain" xlink:to="C000099168Member" order="2.0" />
					<link:loc xlink:type="locator" xlink:href="#bifi_C000244427Member" xlink:label="C000244427Member"/>
					<link:presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="ShareClassDomain" xlink:to="C000244427Member" order="3.0" />
					<link:loc xlink:type="locator" xlink:href="#bifi_C000201956Member" xlink:label="C000201956Member"/>
					<link:presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="ShareClassDomain" xlink:to="C000201956Member" order="4.0" />
					<link:loc xlink:type="locator" xlink:href="#bifi_C000008447Member" xlink:label="C000008447Member"/>
					<link:presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="ShareClassDomain" xlink:to="C000008447Member" order="5.0" />
					<link:loc xlink:type="locator" xlink:href="#bifi_C000008448Member" xlink:label="C000008448Member"/>
					<link:presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="ShareClassDomain" xlink:to="C000008448Member" order="6.0" />
					<link:loc xlink:type="locator" xlink:href="#bifi_C000008452Member" xlink:label="C000008452Member"/>
					<link:presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="ShareClassDomain" xlink:to="C000008452Member" order="7.0" />
					<link:loc xlink:type="locator" xlink:href="#bifi_C000008451Member" xlink:label="C000008451Member"/>
					<link:presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="ShareClassDomain" xlink:to="C000008451Member" order="8.0" />
					<link:loc xlink:type="locator" xlink:href="#bifi_C000201957Member" xlink:label="C000201957Member"/>
					<link:presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="ShareClassDomain" xlink:to="C000201957Member" order="9.0" />
					<link:loc xlink:type="locator" xlink:href="#bifi_C000099169Member" xlink:label="C000099169Member"/>
					<link:presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="ShareClassDomain" xlink:to="C000099169Member" order="10.0" />
   
			 <link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_InvestmentTypeCategorizationMember" xlink:label="InvestmentTypeCategorizationMember"/>
			 <link:loc xlink:type="locator" xlink:href="#bifi_OtherAssetsLessLiabilitiesMember" xlink:label="OtherAssetsLessLiabilitiesMember"/>
					<link:presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="InvestmentTypeCategorizationMember" xlink:to="OtherAssetsLessLiabilitiesMember" order="2.0" />

			 <link:loc xlink:type="locator" xlink:href="https://xbrl.sec.gov/oef/2025/oef-2025.xsd#oef_MaturityDomain" xlink:label="MaturityDomain"/>
			
			<link:loc xlink:type="locator" xlink:href="https://xbrl.sec.gov/oef/2025/oef-2025.xsd#oef_OtherCategory1Domain" xlink:label="OtherCategory1Domain"/>
			<link:loc xlink:type="locator" xlink:href="#bifi_OtherMember" xlink:label="OtherMember"/>
					<link:presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="OtherCategory1Domain" xlink:to="OtherMember" order="2.0" />

			<link:loc xlink:type="locator" xlink:href="https://xbrl.sec.gov/oef/2025/oef-2025.xsd#oef_OtherCategory2Domain" xlink:label="OtherCategory2Domain"/>
			
			<link:loc xlink:type="locator" xlink:href="https://xbrl.sec.gov/oef/2025/oef-2025.xsd#oef_LargestHoldingsDomain" xlink:label="LargestHoldingsDomain"/>
			<link:loc xlink:type="locator" xlink:href="#bifi_ToyotaMotorCorpMember" xlink:label="ToyotaMotorCorpMember"/>
					<link:presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="LargestHoldingsDomain" xlink:to="ToyotaMotorCorpMember" order="2.0" />
					<link:loc xlink:type="locator" xlink:href="#bifi_SiemensAGClassNMember" xlink:label="SiemensAGClassNMember"/>
					<link:presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="LargestHoldingsDomain" xlink:to="SiemensAGClassNMember" order="3.0" />
					<link:loc xlink:type="locator" xlink:href="#bifi_ShellPLCMember" xlink:label="ShellPLCMember"/>
					<link:presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="LargestHoldingsDomain" xlink:to="ShellPLCMember" order="4.0" />
					<link:loc xlink:type="locator" xlink:href="#bifi_SAPSEMember" xlink:label="SAPSEMember"/>
					<link:presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="LargestHoldingsDomain" xlink:to="SAPSEMember" order="5.0" />
					<link:loc xlink:type="locator" xlink:href="#bifi_NestleSAClassNMember" xlink:label="NestleSAClassNMember"/>
					<link:presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="LargestHoldingsDomain" xlink:to="NestleSAClassNMember" order="6.0" />
					<link:loc xlink:type="locator" xlink:href="#bifi_NovartisAGClassNMember" xlink:label="NovartisAGClassNMember"/>
					<link:presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="LargestHoldingsDomain" xlink:to="NovartisAGClassNMember" order="7.0" />
					<link:loc xlink:type="locator" xlink:href="#bifi_HSBCHoldingsPLCMember" xlink:label="HSBCHoldingsPLCMember"/>
					<link:presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="LargestHoldingsDomain" xlink:to="HSBCHoldingsPLCMember" order="8.0" />
					<link:loc xlink:type="locator" xlink:href="#bifi_AstraZenecaPLCMember" xlink:label="AstraZenecaPLCMember"/>
					<link:presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="LargestHoldingsDomain" xlink:to="AstraZenecaPLCMember" order="9.0" />
					<link:loc xlink:type="locator" xlink:href="#bifi_RocheHoldingAGMember" xlink:label="RocheHoldingAGMember"/>
					<link:presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="LargestHoldingsDomain" xlink:to="RocheHoldingAGMember" order="10.0" />
					<link:loc xlink:type="locator" xlink:href="#bifi_ASMLHoldingNVMember" xlink:label="ASMLHoldingNVMember"/>
					<link:presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="LargestHoldingsDomain" xlink:to="ASMLHoldingNVMember" order="11.0" />

            <!--GeographicRegionDomain Only presentation and label linkbases-->			 
			 <link:loc xlink:type="locator" xlink:href="https://xbrl.sec.gov/oef/2025/oef-2025.xsd#oef_GeographicRegionDomain" xlink:label="GeographicRegionDomain"/>
			 <link:loc xlink:type="locator" xlink:href="https://xbrl.sec.gov/country/2025/country-2025.xsd#country_US" xlink:label="US"/>
					<link:presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="GeographicRegionDomain" xlink:to="US" order="2.0" />
					<link:loc xlink:type="locator" xlink:href="https://xbrl.sec.gov/country/2025/country-2025.xsd#country_GB" xlink:label="GB"/>
					<link:presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="GeographicRegionDomain" xlink:to="GB" order="3.0" />
					<link:loc xlink:type="locator" xlink:href="https://xbrl.sec.gov/country/2025/country-2025.xsd#country_CH" xlink:label="CH"/>
					<link:presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="GeographicRegionDomain" xlink:to="CH" order="4.0" />
					<link:loc xlink:type="locator" xlink:href="https://xbrl.sec.gov/country/2025/country-2025.xsd#country_ES" xlink:label="ES"/>
					<link:presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="GeographicRegionDomain" xlink:to="ES" order="5.0" />
					<link:loc xlink:type="locator" xlink:href="https://xbrl.sec.gov/country/2025/country-2025.xsd#country_NL" xlink:label="NL"/>
					<link:presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="GeographicRegionDomain" xlink:to="NL" order="6.0" />
					<link:loc xlink:type="locator" xlink:href="https://xbrl.sec.gov/country/2025/country-2025.xsd#country_JP" xlink:label="JP"/>
					<link:presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="GeographicRegionDomain" xlink:to="JP" order="7.0" />
					<link:loc xlink:type="locator" xlink:href="https://xbrl.sec.gov/country/2025/country-2025.xsd#country_IT" xlink:label="IT"/>
					<link:presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="GeographicRegionDomain" xlink:to="IT" order="8.0" />
					<link:loc xlink:type="locator" xlink:href="https://xbrl.sec.gov/country/2025/country-2025.xsd#country_DE" xlink:label="DE"/>
					<link:presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="GeographicRegionDomain" xlink:to="DE" order="9.0" />
					<link:loc xlink:type="locator" xlink:href="https://xbrl.sec.gov/country/2025/country-2025.xsd#country_FR" xlink:label="FR"/>
					<link:presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="GeographicRegionDomain" xlink:to="FR" order="10.0" />
					<link:loc xlink:type="locator" xlink:href="https://xbrl.sec.gov/country/2025/country-2025.xsd#country_AU" xlink:label="AU"/>
					<link:presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="GeographicRegionDomain" xlink:to="AU" order="11.0" />

			<!--IndustrySectorDomain Only presentation and label linkbases-->	
			<link:loc xlink:type="locator" xlink:href="https://xbrl.sec.gov/oef/2025/oef-2025.xsd#oef_IndustrySectorDomain" xlink:label="IndustrySectorDomain"/>	
			
			<!--CreditQualityDomain Only presentation and label linkbases-->	
			<link:loc xlink:type="locator" xlink:href="https://xbrl.sec.gov/oef/2025/oef-2025.xsd#oef_CreditQualityDomain" xlink:label="CreditQualityDomain"/>	
			
			<!--ExternalCreditRatingFitchMember Only presentation and label linkbases-->	
			<link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/srt/2025/elts/srt-2025.xsd#srt_ExternalCreditRatingFitchMember" xlink:label="ExternalCreditRatingFitchMember"/>
			<link:presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="CreditQualityDomain" xlink:to="ExternalCreditRatingFitchMember" xbrldt:usable="false" order="1.0"/>
			
			<!--ExternalCreditRatingMoodysMember Only presentation and label linkbases-->	
			<link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/srt/2025/elts/srt-2025.xsd#srt_ExternalCreditRatingMoodysMember" xlink:label="ExternalCreditRatingMoodysMember"/>
			<link:presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="CreditQualityDomain" xlink:to="ExternalCreditRatingMoodysMember" xbrldt:usable="false" order="2.1"/>
			
			<!--ExternalCreditRatingStandardPoorsMember Only presentation and label linkbases-->	
			<link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/srt/2025/elts/srt-2025.xsd#srt_ExternalCreditRatingStandardPoorsMember" xlink:label="ExternalCreditRatingStandardPoorsMember"/>
			<link:presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="CreditQualityDomain" xlink:to="ExternalCreditRatingStandardPoorsMember" xbrldt:usable="false" order="3.1"/>
			
			<!--CreditRatingAMBestDomain Only presentation and label linkbases-->	
			<link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/srt/2025/elts/srt-2025.xsd#srt_CreditRatingAMBestDomain" xlink:label="CreditRatingAMBestDomain"/>
			<link:presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="CreditQualityDomain" xlink:to="CreditRatingAMBestDomain" xbrldt:usable="false" order="4.1"/>
            			
			</link:presentationLink>
            <link:presentationLink xlink:type="extended" xlink:role="http://xbrl.sec.gov/oef/role/ShareholderReportLineGraphDetails">            
			  <link:loc xlink:type="locator" xlink:href="https://xbrl.sec.gov/oef/2025/oef-2025.xsd#oef_ShareClassDomain" xlink:label="ShareClassDomain"/>
			  <link:loc xlink:type="locator" xlink:href="#bifi_C000099168Member" xlink:label="C000099168Member"/>
					<link:presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="ShareClassDomain" xlink:to="C000099168Member" order="2.0" />
					<link:loc xlink:type="locator" xlink:href="#bifi_C000244427Member" xlink:label="C000244427Member"/>
					<link:presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="ShareClassDomain" xlink:to="C000244427Member" order="3.0" />
					<link:loc xlink:type="locator" xlink:href="#bifi_C000201956Member" xlink:label="C000201956Member"/>
					<link:presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="ShareClassDomain" xlink:to="C000201956Member" order="4.0" />
					<link:loc xlink:type="locator" xlink:href="#bifi_C000008447Member" xlink:label="C000008447Member"/>
					<link:presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="ShareClassDomain" xlink:to="C000008447Member" order="5.0" />
					<link:loc xlink:type="locator" xlink:href="#bifi_C000008448Member" xlink:label="C000008448Member"/>
					<link:presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="ShareClassDomain" xlink:to="C000008448Member" order="6.0" />
					<link:loc xlink:type="locator" xlink:href="#bifi_C000008452Member" xlink:label="C000008452Member"/>
					<link:presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="ShareClassDomain" xlink:to="C000008452Member" order="7.0" />
					<link:loc xlink:type="locator" xlink:href="#bifi_C000008451Member" xlink:label="C000008451Member"/>
					<link:presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="ShareClassDomain" xlink:to="C000008451Member" order="8.0" />
					<link:loc xlink:type="locator" xlink:href="#bifi_C000201957Member" xlink:label="C000201957Member"/>
					<link:presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="ShareClassDomain" xlink:to="C000201957Member" order="9.0" />
					<link:loc xlink:type="locator" xlink:href="#bifi_C000099169Member" xlink:label="C000099169Member"/>
					<link:presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="ShareClassDomain" xlink:to="C000099169Member" order="10.0" />

			  <link:loc xlink:type="locator" xlink:href="https://xbrl.sec.gov/oef/2025/oef-2025.xsd#oef_AdditionalIndexDomain" xlink:label="AdditionalIndexDomain"/>
			  <link:loc xlink:type="locator" xlink:href="#bifi_Russell2000IndexMember" xlink:label="Russell2000IndexMember"/>
					<link:presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="AdditionalIndexDomain" xlink:to="Russell2000IndexMember" order="2.0" />
 
              <link:loc xlink:type="locator" xlink:href="https://xbrl.sec.gov/oef/2025/oef-2025.xsd#oef_BroadBasedIndexDomain" xlink:label="BroadBasedIndexDomain"/>
			  <link:loc xlink:type="locator" xlink:href="#bifi_MSCIEAFEIndexNetMember" xlink:label="MSCIEAFEIndexNetMember"/>
					<link:presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="BroadBasedIndexDomain" xlink:to="MSCIEAFEIndexNetMember" order="2.0" />
					<link:loc xlink:type="locator" xlink:href="#bifi_Russell3000IndexMember" xlink:label="Russell3000IndexMember"/>
					<link:presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="BroadBasedIndexDomain" xlink:to="Russell3000IndexMember" order="3.0" />
			  			  
            </link:presentationLink>
			<link:presentationLink xlink:type="extended" xlink:role="http://xbrl.sec.gov/oef/role/ShareholderReportAverageAnnualReturnDetails">            
			  <link:loc xlink:type="locator" xlink:href="https://xbrl.sec.gov/oef/2025/oef-2025.xsd#oef_ShareClassDomain" xlink:label="ShareClassDomain"/>
			  <link:loc xlink:type="locator" xlink:href="#bifi_C000099168Member" xlink:label="C000099168Member"/>
					<link:presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="ShareClassDomain" xlink:to="C000099168Member" order="2.0" />
					<link:loc xlink:type="locator" xlink:href="#bifi_C000244427Member" xlink:label="C000244427Member"/>
					<link:presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="ShareClassDomain" xlink:to="C000244427Member" order="3.0" />
					<link:loc xlink:type="locator" xlink:href="#bifi_C000201956Member" xlink:label="C000201956Member"/>
					<link:presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="ShareClassDomain" xlink:to="C000201956Member" order="4.0" />
					<link:loc xlink:type="locator" xlink:href="#bifi_C000008447Member" xlink:label="C000008447Member"/>
					<link:presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="ShareClassDomain" xlink:to="C000008447Member" order="5.0" />
					<link:loc xlink:type="locator" xlink:href="#bifi_C000008448Member" xlink:label="C000008448Member"/>
					<link:presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="ShareClassDomain" xlink:to="C000008448Member" order="6.0" />
					<link:loc xlink:type="locator" xlink:href="#bifi_C000008452Member" xlink:label="C000008452Member"/>
					<link:presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="ShareClassDomain" xlink:to="C000008452Member" order="7.0" />
					<link:loc xlink:type="locator" xlink:href="#bifi_C000008451Member" xlink:label="C000008451Member"/>
					<link:presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="ShareClassDomain" xlink:to="C000008451Member" order="8.0" />
					<link:loc xlink:type="locator" xlink:href="#bifi_C000201957Member" xlink:label="C000201957Member"/>
					<link:presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="ShareClassDomain" xlink:to="C000201957Member" order="9.0" />
					<link:loc xlink:type="locator" xlink:href="#bifi_C000099169Member" xlink:label="C000099169Member"/>
					<link:presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="ShareClassDomain" xlink:to="C000099169Member" order="10.0" />

			  <link:loc xlink:type="locator" xlink:href="https://xbrl.sec.gov/oef/2025/oef-2025.xsd#oef_AdditionalIndexDomain" xlink:label="AdditionalIndexDomain"/>
			  <link:loc xlink:type="locator" xlink:href="#bifi_Russell2000IndexMember" xlink:label="Russell2000IndexMember"/>
					<link:presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="AdditionalIndexDomain" xlink:to="Russell2000IndexMember" order="2.0" />
 
              <link:loc xlink:type="locator" xlink:href="https://xbrl.sec.gov/oef/2025/oef-2025.xsd#oef_BroadBasedIndexDomain" xlink:label="BroadBasedIndexDomain"/>
			  <link:loc xlink:type="locator" xlink:href="#bifi_MSCIEAFEIndexNetMember" xlink:label="MSCIEAFEIndexNetMember"/>
					<link:presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="BroadBasedIndexDomain" xlink:to="MSCIEAFEIndexNetMember" order="2.0" />
					<link:loc xlink:type="locator" xlink:href="#bifi_Russell3000IndexMember" xlink:label="Russell3000IndexMember"/>
					<link:presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="BroadBasedIndexDomain" xlink:to="Russell3000IndexMember" order="3.0" />

			  <link:loc xlink:type="locator" xlink:href="https://xbrl.sec.gov/oef/2025/oef-2025.xsd#oef_WithSalesLoadMember" xlink:label="WithSalesLoadMember"/>
			                 		  
            </link:presentationLink>
            <link:definitionLink xlink:type="extended" xlink:role="http://xbrl.sec.gov/oef/role/ClassOnly">               
			   <link:loc xlink:type="locator" xlink:href="https://xbrl.sec.gov/oef/2025/oef-2025.xsd#oef_ShareClassDomain" xlink:label="ShareClassDomain"/>
			   <link:loc xlink:type="locator" xlink:href="#bifi_C000099168Member" xlink:label="C000099168Member"/>
					<link:definitionArc xlink:type="arc" xlink:arcrole="http://xbrl.org/int/dim/arcrole/domain-member" xlink:from="ShareClassDomain" xlink:to="C000099168Member" order="1.0"/>
					<link:loc xlink:type="locator" xlink:href="#bifi_C000244427Member" xlink:label="C000244427Member"/>
					<link:definitionArc xlink:type="arc" xlink:arcrole="http://xbrl.org/int/dim/arcrole/domain-member" xlink:from="ShareClassDomain" xlink:to="C000244427Member" order="2.0"/>
					<link:loc xlink:type="locator" xlink:href="#bifi_C000201956Member" xlink:label="C000201956Member"/>
					<link:definitionArc xlink:type="arc" xlink:arcrole="http://xbrl.org/int/dim/arcrole/domain-member" xlink:from="ShareClassDomain" xlink:to="C000201956Member" order="3.0"/>
					<link:loc xlink:type="locator" xlink:href="#bifi_C000008447Member" xlink:label="C000008447Member"/>
					<link:definitionArc xlink:type="arc" xlink:arcrole="http://xbrl.org/int/dim/arcrole/domain-member" xlink:from="ShareClassDomain" xlink:to="C000008447Member" order="4.0"/>
					<link:loc xlink:type="locator" xlink:href="#bifi_C000008448Member" xlink:label="C000008448Member"/>
					<link:definitionArc xlink:type="arc" xlink:arcrole="http://xbrl.org/int/dim/arcrole/domain-member" xlink:from="ShareClassDomain" xlink:to="C000008448Member" order="5.0"/>
					<link:loc xlink:type="locator" xlink:href="#bifi_C000008452Member" xlink:label="C000008452Member"/>
					<link:definitionArc xlink:type="arc" xlink:arcrole="http://xbrl.org/int/dim/arcrole/domain-member" xlink:from="ShareClassDomain" xlink:to="C000008452Member" order="6.0"/>
					<link:loc xlink:type="locator" xlink:href="#bifi_C000008451Member" xlink:label="C000008451Member"/>
					<link:definitionArc xlink:type="arc" xlink:arcrole="http://xbrl.org/int/dim/arcrole/domain-member" xlink:from="ShareClassDomain" xlink:to="C000008451Member" order="7.0"/>
					<link:loc xlink:type="locator" xlink:href="#bifi_C000201957Member" xlink:label="C000201957Member"/>
					<link:definitionArc xlink:type="arc" xlink:arcrole="http://xbrl.org/int/dim/arcrole/domain-member" xlink:from="ShareClassDomain" xlink:to="C000201957Member" order="8.0"/>
					<link:loc xlink:type="locator" xlink:href="#bifi_C000099169Member" xlink:label="C000099169Member"/>
					<link:definitionArc xlink:type="arc" xlink:arcrole="http://xbrl.org/int/dim/arcrole/domain-member" xlink:from="ShareClassDomain" xlink:to="C000099169Member" order="9.0"/>

            </link:definitionLink>
            <link:definitionLink xlink:type="extended" xlink:role="http://xbrl.sec.gov/oef/role/Other1CategoryOnly">               
			   <link:loc xlink:type="locator" xlink:href="https://xbrl.sec.gov/oef/2025/oef-2025.xsd#oef_OtherCategory1Domain" xlink:label="OtherCategory1Domain"/>
			   <link:loc xlink:type="locator" xlink:href="#bifi_OtherMember" xlink:label="OtherMember"/>
					<link:definitionArc xlink:type="arc" xlink:arcrole="http://xbrl.org/int/dim/arcrole/domain-member" xlink:from="OtherCategory1Domain" xlink:to="OtherMember" order="1.0"/>

            </link:definitionLink>
			<link:definitionLink xlink:type="extended" xlink:role="http://xbrl.sec.gov/oef/role/Other2CategoryOnly">               
			   <link:loc xlink:type="locator" xlink:href="https://xbrl.sec.gov/oef/2025/oef-2025.xsd#oef_OtherCategory2Domain" xlink:label="OtherCategory2Domain"/>
			   
            </link:definitionLink>
            <link:definitionLink xlink:type="extended" xlink:role="http://xbrl.sec.gov/oef/role/LargestHoldingOnly">               
			   <link:loc xlink:type="locator" xlink:href="https://xbrl.sec.gov/oef/2025/oef-2025.xsd#oef_LargestHoldingsDomain" xlink:label="LargestHoldingsDomain"/>
			   <link:loc xlink:type="locator" xlink:href="#bifi_ToyotaMotorCorpMember" xlink:label="ToyotaMotorCorpMember"/>
					<link:definitionArc xlink:type="arc" xlink:arcrole="http://xbrl.org/int/dim/arcrole/domain-member" xlink:from="LargestHoldingsDomain" xlink:to="ToyotaMotorCorpMember" order="1.0"/>
					<link:loc xlink:type="locator" xlink:href="#bifi_SiemensAGClassNMember" xlink:label="SiemensAGClassNMember"/>
					<link:definitionArc xlink:type="arc" xlink:arcrole="http://xbrl.org/int/dim/arcrole/domain-member" xlink:from="LargestHoldingsDomain" xlink:to="SiemensAGClassNMember" order="2.0"/>
					<link:loc xlink:type="locator" xlink:href="#bifi_ShellPLCMember" xlink:label="ShellPLCMember"/>
					<link:definitionArc xlink:type="arc" xlink:arcrole="http://xbrl.org/int/dim/arcrole/domain-member" xlink:from="LargestHoldingsDomain" xlink:to="ShellPLCMember" order="3.0"/>
					<link:loc xlink:type="locator" xlink:href="#bifi_SAPSEMember" xlink:label="SAPSEMember"/>
					<link:definitionArc xlink:type="arc" xlink:arcrole="http://xbrl.org/int/dim/arcrole/domain-member" xlink:from="LargestHoldingsDomain" xlink:to="SAPSEMember" order="4.0"/>
					<link:loc xlink:type="locator" xlink:href="#bifi_NestleSAClassNMember" xlink:label="NestleSAClassNMember"/>
					<link:definitionArc xlink:type="arc" xlink:arcrole="http://xbrl.org/int/dim/arcrole/domain-member" xlink:from="LargestHoldingsDomain" xlink:to="NestleSAClassNMember" order="5.0"/>
					<link:loc xlink:type="locator" xlink:href="#bifi_NovartisAGClassNMember" xlink:label="NovartisAGClassNMember"/>
					<link:definitionArc xlink:type="arc" xlink:arcrole="http://xbrl.org/int/dim/arcrole/domain-member" xlink:from="LargestHoldingsDomain" xlink:to="NovartisAGClassNMember" order="6.0"/>
					<link:loc xlink:type="locator" xlink:href="#bifi_HSBCHoldingsPLCMember" xlink:label="HSBCHoldingsPLCMember"/>
					<link:definitionArc xlink:type="arc" xlink:arcrole="http://xbrl.org/int/dim/arcrole/domain-member" xlink:from="LargestHoldingsDomain" xlink:to="HSBCHoldingsPLCMember" order="7.0"/>
					<link:loc xlink:type="locator" xlink:href="#bifi_AstraZenecaPLCMember" xlink:label="AstraZenecaPLCMember"/>
					<link:definitionArc xlink:type="arc" xlink:arcrole="http://xbrl.org/int/dim/arcrole/domain-member" xlink:from="LargestHoldingsDomain" xlink:to="AstraZenecaPLCMember" order="8.0"/>
					<link:loc xlink:type="locator" xlink:href="#bifi_RocheHoldingAGMember" xlink:label="RocheHoldingAGMember"/>
					<link:definitionArc xlink:type="arc" xlink:arcrole="http://xbrl.org/int/dim/arcrole/domain-member" xlink:from="LargestHoldingsDomain" xlink:to="RocheHoldingAGMember" order="9.0"/>
					<link:loc xlink:type="locator" xlink:href="#bifi_ASMLHoldingNVMember" xlink:label="ASMLHoldingNVMember"/>
					<link:definitionArc xlink:type="arc" xlink:arcrole="http://xbrl.org/int/dim/arcrole/domain-member" xlink:from="LargestHoldingsDomain" xlink:to="ASMLHoldingNVMember" order="10.0"/>

            </link:definitionLink>
			<link:definitionLink xlink:type="extended" xlink:role="http://xbrl.sec.gov/oef/role/SalesLoadOnly">
				<link:loc xlink:type="locator" xlink:href="https://xbrl.sec.gov/oef/2025/oef-2025.xsd#oef_WithSalesLoadMember" xlink:label="WithSalesLoadMember"/>
				 				
			</link:definitionLink>
            <link:definitionLink xlink:type="extended" xlink:role="http://fasb.org/us-gaap/role/eedm/ExtensibleEnumerationLists">               
			   <link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_InvestmentTypeCategorizationMember" xlink:label="InvestmentTypeCategorizationMember"/>
			   <link:loc xlink:type="locator" xlink:href="#bifi_OtherAssetsLessLiabilitiesMember" xlink:label="OtherAssetsLessLiabilitiesMember"/>
					<link:definitionArc xlink:type="arc" xlink:arcrole="http://xbrl.org/int/dim/arcrole/domain-member" xlink:from="InvestmentTypeCategorizationMember" xlink:to="OtherAssetsLessLiabilitiesMember" order="1.0"/>

            </link:definitionLink>
            <link:definitionLink xlink:type="extended" xlink:role="http://xbrl.sec.gov/oef/role/BroadBasedIndexOnly">               
			   <link:loc xlink:type="locator" xlink:href="https://xbrl.sec.gov/oef/2025/oef-2025.xsd#oef_BroadBasedIndexDomain" xlink:label="BroadBasedIndexDomain"/>
			   <link:loc xlink:type="locator" xlink:href="#bifi_MSCIEAFEIndexNetMember" xlink:label="MSCIEAFEIndexNetMember"/>
					<link:definitionArc xlink:type="arc" xlink:arcrole="http://xbrl.org/int/dim/arcrole/domain-member" xlink:from="BroadBasedIndexDomain" xlink:to="MSCIEAFEIndexNetMember" order="1.0"/>
					<link:loc xlink:type="locator" xlink:href="#bifi_Russell3000IndexMember" xlink:label="Russell3000IndexMember"/>
					<link:definitionArc xlink:type="arc" xlink:arcrole="http://xbrl.org/int/dim/arcrole/domain-member" xlink:from="BroadBasedIndexDomain" xlink:to="Russell3000IndexMember" order="2.0"/>

            </link:definitionLink>
            <link:definitionLink xlink:type="extended" xlink:role="http://xbrl.sec.gov/oef/role/AdditionalIndexOnly">              
			   <link:loc xlink:type="locator" xlink:href="https://xbrl.sec.gov/oef/2025/oef-2025.xsd#oef_AdditionalIndexDomain" xlink:label="AdditionalIndexDomain"/>
			   <link:loc xlink:type="locator" xlink:href="#bifi_Russell2000IndexMember" xlink:label="Russell2000IndexMember"/>
					<link:definitionArc xlink:type="arc" xlink:arcrole="http://xbrl.org/int/dim/arcrole/domain-member" xlink:from="AdditionalIndexDomain" xlink:to="Russell2000IndexMember" order="1.0"/>

            </link:definitionLink>
			<link:definitionLink xlink:type="extended" xlink:role="http://xbrl.sec.gov/oef/role/MaturityOnly">
			<link:loc xlink:type="locator" xlink:href="https://xbrl.sec.gov/oef/2025/oef-2025.xsd#oef_MaturityDomain" xlink:label="MaturityDomain"/>
			
			</link:definitionLink>
            <link:definitionLink xlink:type="extended" xlink:role="http://xbrl.sec.gov/oef/role/IndustrySectorOnly">
                <link:loc xlink:type="locator" xlink:href="https://xbrl.sec.gov/oef/2025/oef-2025.xsd#oef_IndustrySectorDomain" xlink:label="IndustrySectorDomain"/>
                
            </link:definitionLink>
            <link:definitionLink xlink:type="extended" xlink:role="http://xbrl.sec.gov/oef/role/CreditQualityOnly">
                <link:loc xlink:type="locator" xlink:href="https://xbrl.sec.gov/oef/2025/oef-2025.xsd#oef_CreditQualityDomain" xlink:label="CreditQualityDomain"/>
                
            </link:definitionLink>
            <!--GeographicRegionOnly use only for STPR-->
            <link:definitionLink xlink:type="extended" xlink:role="http://xbrl.sec.gov/oef/role/GeographicRegionOnly">
            <link:loc xlink:type="locator" xlink:href="https://xbrl.sec.gov/oef/2025/oef-2025.xsd#oef_GeographicRegionDomain" xlink:label="GeographicRegionDomain"/>
            
            </link:definitionLink>
            <link:labelLink xlink:type="extended" xlink:role="http://www.xbrl.org/2003/role/link">               
               <link:loc xlink:type="locator" xlink:href="#bifi_MSCIEAFEIndexNetMember" xlink:label="MSCIEAFEIndexNetMember"/>
					<link:label xlink:type="resource" xlink:label="label_MSCIEAFEIndexNetMember" xlink:role="http://www.xbrl.org/2003/role/label" xml:lang="en-US">MSCI EAFE Index Net [Member]</link:label>
					<link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="MSCIEAFEIndexNetMember" xlink:to="label_MSCIEAFEIndexNetMember"/>

					<link:loc xlink:type="locator" xlink:href="#bifi_OtherAssetsLessLiabilitiesMember" xlink:label="OtherAssetsLessLiabilitiesMember"/>
					<link:label xlink:type="resource" xlink:label="label_OtherAssetsLessLiabilitiesMember" xlink:role="http://www.xbrl.org/2003/role/label" xml:lang="en-US">Other Assets Less Liabilities [Member]</link:label>
					<link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="OtherAssetsLessLiabilitiesMember" xlink:to="label_OtherAssetsLessLiabilitiesMember"/>

					<link:loc xlink:type="locator" xlink:href="#bifi_OtherMember" xlink:label="OtherMember"/>
					<link:label xlink:type="resource" xlink:label="label_OtherMember" xlink:role="http://www.xbrl.org/2003/role/label" xml:lang="en-US">Other [Member]</link:label>
					<link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="OtherMember" xlink:to="label_OtherMember"/>

					<link:loc xlink:type="locator" xlink:href="#bifi_ToyotaMotorCorpMember" xlink:label="ToyotaMotorCorpMember"/>
					<link:label xlink:type="resource" xlink:label="label_ToyotaMotorCorpMember" xlink:role="http://www.xbrl.org/2003/role/label" xml:lang="en-US">Toyota Motor Corp [Member]</link:label>
					<link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="ToyotaMotorCorpMember" xlink:to="label_ToyotaMotorCorpMember"/>

					<link:loc xlink:type="locator" xlink:href="#bifi_SiemensAGClassNMember" xlink:label="SiemensAGClassNMember"/>
					<link:label xlink:type="resource" xlink:label="label_SiemensAGClassNMember" xlink:role="http://www.xbrl.org/2003/role/label" xml:lang="en-US">Siemens AG Class N [Member]</link:label>
					<link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="SiemensAGClassNMember" xlink:to="label_SiemensAGClassNMember"/>

					<link:loc xlink:type="locator" xlink:href="#bifi_ShellPLCMember" xlink:label="ShellPLCMember"/>
					<link:label xlink:type="resource" xlink:label="label_ShellPLCMember" xlink:role="http://www.xbrl.org/2003/role/label" xml:lang="en-US">Shell PLC [Member]</link:label>
					<link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="ShellPLCMember" xlink:to="label_ShellPLCMember"/>

					<link:loc xlink:type="locator" xlink:href="#bifi_SAPSEMember" xlink:label="SAPSEMember"/>
					<link:label xlink:type="resource" xlink:label="label_SAPSEMember" xlink:role="http://www.xbrl.org/2003/role/label" xml:lang="en-US">SAP SE [Member]</link:label>
					<link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="SAPSEMember" xlink:to="label_SAPSEMember"/>

					<link:loc xlink:type="locator" xlink:href="#bifi_NestleSAClassNMember" xlink:label="NestleSAClassNMember"/>
					<link:label xlink:type="resource" xlink:label="label_NestleSAClassNMember" xlink:role="http://www.xbrl.org/2003/role/label" xml:lang="en-US">Nestle SA Class N [Member]</link:label>
					<link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="NestleSAClassNMember" xlink:to="label_NestleSAClassNMember"/>

					<link:loc xlink:type="locator" xlink:href="#bifi_NovartisAGClassNMember" xlink:label="NovartisAGClassNMember"/>
					<link:label xlink:type="resource" xlink:label="label_NovartisAGClassNMember" xlink:role="http://www.xbrl.org/2003/role/label" xml:lang="en-US">Novartis AG Class N [Member]</link:label>
					<link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="NovartisAGClassNMember" xlink:to="label_NovartisAGClassNMember"/>

					<link:loc xlink:type="locator" xlink:href="#bifi_HSBCHoldingsPLCMember" xlink:label="HSBCHoldingsPLCMember"/>
					<link:label xlink:type="resource" xlink:label="label_HSBCHoldingsPLCMember" xlink:role="http://www.xbrl.org/2003/role/label" xml:lang="en-US">HSBC Holdings PLC [Member]</link:label>
					<link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="HSBCHoldingsPLCMember" xlink:to="label_HSBCHoldingsPLCMember"/>

					<link:loc xlink:type="locator" xlink:href="#bifi_AstraZenecaPLCMember" xlink:label="AstraZenecaPLCMember"/>
					<link:label xlink:type="resource" xlink:label="label_AstraZenecaPLCMember" xlink:role="http://www.xbrl.org/2003/role/label" xml:lang="en-US">AstraZeneca PLC [Member]</link:label>
					<link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="AstraZenecaPLCMember" xlink:to="label_AstraZenecaPLCMember"/>

					<link:loc xlink:type="locator" xlink:href="#bifi_RocheHoldingAGMember" xlink:label="RocheHoldingAGMember"/>
					<link:label xlink:type="resource" xlink:label="label_RocheHoldingAGMember" xlink:role="http://www.xbrl.org/2003/role/label" xml:lang="en-US">Roche Holding AG [Member]</link:label>
					<link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="RocheHoldingAGMember" xlink:to="label_RocheHoldingAGMember"/>

					<link:loc xlink:type="locator" xlink:href="#bifi_ASMLHoldingNVMember" xlink:label="ASMLHoldingNVMember"/>
					<link:label xlink:type="resource" xlink:label="label_ASMLHoldingNVMember" xlink:role="http://www.xbrl.org/2003/role/label" xml:lang="en-US">ASML Holding NV [Member]</link:label>
					<link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="ASMLHoldingNVMember" xlink:to="label_ASMLHoldingNVMember"/>

					<link:loc xlink:type="locator" xlink:href="#bifi_C000099168Member" xlink:label="C000099168Member"/>
					<link:label xlink:type="resource" xlink:label="label_C000099168Member" xlink:role="http://www.xbrl.org/2003/role/label" xml:lang="en-US">C000099168 [Member]</link:label>
					<link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="C000099168Member" xlink:to="label_C000099168Member"/>

										<link:label xlink:type="resource" xlink:label="label_C000099168Member_2" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xml:lang="en-US">Class K</link:label>
					<link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="C000099168Member" xlink:to="label_C000099168Member_2"/>

					<link:loc xlink:type="locator" xlink:href="#bifi_C000244427Member" xlink:label="C000244427Member"/>
					<link:label xlink:type="resource" xlink:label="label_C000244427Member" xlink:role="http://www.xbrl.org/2003/role/label" xml:lang="en-US">C000244427 [Member]</link:label>
					<link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="C000244427Member" xlink:to="label_C000244427Member"/>

										<link:label xlink:type="resource" xlink:label="label_C000244427Member_2" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xml:lang="en-US">Class G Shares</link:label>
					<link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="C000244427Member" xlink:to="label_C000244427Member_2"/>

					<link:loc xlink:type="locator" xlink:href="#bifi_C000201956Member" xlink:label="C000201956Member"/>
					<link:label xlink:type="resource" xlink:label="label_C000201956Member" xlink:role="http://www.xbrl.org/2003/role/label" xml:lang="en-US">C000201956 [Member]</link:label>
					<link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="C000201956Member" xlink:to="label_C000201956Member"/>

										<link:label xlink:type="resource" xlink:label="label_C000201956Member_2" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xml:lang="en-US">Investor P Shares</link:label>
					<link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="C000201956Member" xlink:to="label_C000201956Member_2"/>

					<link:loc xlink:type="locator" xlink:href="#bifi_C000008447Member" xlink:label="C000008447Member"/>
					<link:label xlink:type="resource" xlink:label="label_C000008447Member" xlink:role="http://www.xbrl.org/2003/role/label" xml:lang="en-US">C000008447 [Member]</link:label>
					<link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="C000008447Member" xlink:to="label_C000008447Member"/>

										<link:label xlink:type="resource" xlink:label="label_C000008447Member_2" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xml:lang="en-US">Investor A</link:label>
					<link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="C000008447Member" xlink:to="label_C000008447Member_2"/>

					<link:loc xlink:type="locator" xlink:href="#bifi_C000008448Member" xlink:label="C000008448Member"/>
					<link:label xlink:type="resource" xlink:label="label_C000008448Member" xlink:role="http://www.xbrl.org/2003/role/label" xml:lang="en-US">C000008448 [Member]</link:label>
					<link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="C000008448Member" xlink:to="label_C000008448Member"/>

										<link:label xlink:type="resource" xlink:label="label_C000008448Member_2" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xml:lang="en-US">Institutional</link:label>
					<link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="C000008448Member" xlink:to="label_C000008448Member_2"/>

					<link:loc xlink:type="locator" xlink:href="https://xbrl.sec.gov/country/2025/country-2025.xsd#country_US" xlink:label="US"/>
					<link:label xlink:type="resource" xlink:label="label_US" xlink:role="http://www.xbrl.org/2003/role/label" xml:lang="en-US">UNITED STATES</link:label>
					<link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="US" xlink:to="label_US"/>

					<link:loc xlink:type="locator" xlink:href="https://xbrl.sec.gov/country/2025/country-2025.xsd#country_GB" xlink:label="GB"/>
					<link:label xlink:type="resource" xlink:label="label_GB" xlink:role="http://www.xbrl.org/2003/role/label" xml:lang="en-US">UNITED KINGDOM</link:label>
					<link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="GB" xlink:to="label_GB"/>

					<link:loc xlink:type="locator" xlink:href="https://xbrl.sec.gov/country/2025/country-2025.xsd#country_CH" xlink:label="CH"/>
					<link:label xlink:type="resource" xlink:label="label_CH" xlink:role="http://www.xbrl.org/2003/role/label" xml:lang="en-US">SWITZERLAND</link:label>
					<link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="CH" xlink:to="label_CH"/>

					<link:loc xlink:type="locator" xlink:href="https://xbrl.sec.gov/country/2025/country-2025.xsd#country_ES" xlink:label="ES"/>
					<link:label xlink:type="resource" xlink:label="label_ES" xlink:role="http://www.xbrl.org/2003/role/label" xml:lang="en-US">SPAIN</link:label>
					<link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="ES" xlink:to="label_ES"/>

					<link:loc xlink:type="locator" xlink:href="https://xbrl.sec.gov/country/2025/country-2025.xsd#country_NL" xlink:label="NL"/>
					<link:label xlink:type="resource" xlink:label="label_NL" xlink:role="http://www.xbrl.org/2003/role/label" xml:lang="en-US">NETHERLANDS</link:label>
					<link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="NL" xlink:to="label_NL"/>

					<link:loc xlink:type="locator" xlink:href="https://xbrl.sec.gov/country/2025/country-2025.xsd#country_JP" xlink:label="JP"/>
					<link:label xlink:type="resource" xlink:label="label_JP" xlink:role="http://www.xbrl.org/2003/role/label" xml:lang="en-US">JAPAN</link:label>
					<link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="JP" xlink:to="label_JP"/>

					<link:loc xlink:type="locator" xlink:href="https://xbrl.sec.gov/country/2025/country-2025.xsd#country_IT" xlink:label="IT"/>
					<link:label xlink:type="resource" xlink:label="label_IT" xlink:role="http://www.xbrl.org/2003/role/label" xml:lang="en-US">ITALY</link:label>
					<link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="IT" xlink:to="label_IT"/>

					<link:loc xlink:type="locator" xlink:href="https://xbrl.sec.gov/country/2025/country-2025.xsd#country_DE" xlink:label="DE"/>
					<link:label xlink:type="resource" xlink:label="label_DE" xlink:role="http://www.xbrl.org/2003/role/label" xml:lang="en-US">GERMANY</link:label>
					<link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="DE" xlink:to="label_DE"/>

					<link:loc xlink:type="locator" xlink:href="https://xbrl.sec.gov/country/2025/country-2025.xsd#country_FR" xlink:label="FR"/>
					<link:label xlink:type="resource" xlink:label="label_FR" xlink:role="http://www.xbrl.org/2003/role/label" xml:lang="en-US">FRANCE</link:label>
					<link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="FR" xlink:to="label_FR"/>

					<link:loc xlink:type="locator" xlink:href="https://xbrl.sec.gov/country/2025/country-2025.xsd#country_AU" xlink:label="AU"/>
					<link:label xlink:type="resource" xlink:label="label_AU" xlink:role="http://www.xbrl.org/2003/role/label" xml:lang="en-US">AUSTRALIA</link:label>
					<link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="AU" xlink:to="label_AU"/>

					<link:loc xlink:type="locator" xlink:href="#bifi_C000008452Member" xlink:label="C000008452Member"/>
					<link:label xlink:type="resource" xlink:label="label_C000008452Member" xlink:role="http://www.xbrl.org/2003/role/label" xml:lang="en-US">C000008452 [Member]</link:label>
					<link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="C000008452Member" xlink:to="label_C000008452Member"/>

					<link:loc xlink:type="locator" xlink:href="#bifi_C000008451Member" xlink:label="C000008451Member"/>
					<link:label xlink:type="resource" xlink:label="label_C000008451Member" xlink:role="http://www.xbrl.org/2003/role/label" xml:lang="en-US">C000008451 [Member]</link:label>
					<link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="C000008451Member" xlink:to="label_C000008451Member"/>

					<link:loc xlink:type="locator" xlink:href="#bifi_C000201957Member" xlink:label="C000201957Member"/>
					<link:label xlink:type="resource" xlink:label="label_C000201957Member" xlink:role="http://www.xbrl.org/2003/role/label" xml:lang="en-US">C000201957 [Member]</link:label>
					<link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="C000201957Member" xlink:to="label_C000201957Member"/>

					<link:loc xlink:type="locator" xlink:href="#bifi_C000099169Member" xlink:label="C000099169Member"/>
					<link:label xlink:type="resource" xlink:label="label_C000099169Member" xlink:role="http://www.xbrl.org/2003/role/label" xml:lang="en-US">C000099169 [Member]</link:label>
					<link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="C000099169Member" xlink:to="label_C000099169Member"/>

					<link:loc xlink:type="locator" xlink:href="#bifi_Russell3000IndexMember" xlink:label="Russell3000IndexMember"/>
					<link:label xlink:type="resource" xlink:label="label_Russell3000IndexMember" xlink:role="http://www.xbrl.org/2003/role/label" xml:lang="en-US">Russell 3000 Index [Member]</link:label>
					<link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="Russell3000IndexMember" xlink:to="label_Russell3000IndexMember"/>

					<link:loc xlink:type="locator" xlink:href="#bifi_Russell2000IndexMember" xlink:label="Russell2000IndexMember"/>
					<link:label xlink:type="resource" xlink:label="label_Russell2000IndexMember" xlink:role="http://www.xbrl.org/2003/role/label" xml:lang="en-US">Russell 2000 Index [Member]</link:label>
					<link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="Russell2000IndexMember" xlink:to="label_Russell2000IndexMember"/>

					
                <link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_InvestmentTypeAxis" xlink:label="InvestmentTypeAxis"/>
                <link:label xlink:type="resource" xlink:label="label_InvestmentTypeAxis" xlink:role="http://www.xbrl.org/2003/role/label" xml:lang="en-US">Investment Type [Axis]</link:label>
                <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="InvestmentTypeAxis" xlink:to="label_InvestmentTypeAxis" priority="1"/>
                <link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_AssetsNet" xlink:label="AssetsNet"/>
                <link:label xlink:type="resource" xlink:label="label_AssetsNet" xlink:role="http://www.xbrl.org/2003/role/label" xml:lang="en-US">Net Assets</link:label>
                <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="AssetsNet" xlink:to="label_AssetsNet" priority="1"/>
                <link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_InvestmentCompanyPortfolioTurnover" xlink:label="InvestmentCompanyPortfolioTurnover"/>
                <link:label xlink:type="resource" xlink:label="label_InvestmentCompanyPortfolioTurnover" xlink:role="http://www.xbrl.org/2003/role/label" xml:lang="en-US">Investment Company Portfolio Turnover</link:label>
                <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="InvestmentCompanyPortfolioTurnover" xlink:to="label_InvestmentCompanyPortfolioTurnover" priority="1"/>                
                <link:loc xlink:type="locator" xlink:href="https://xbrl.sec.gov/dei/2025/dei-2025.xsd#dei_NoTradingSymbolFlag" xlink:label="dei_NoTradingSymbolFlag"/>
				<link:label xlink:type="resource" xlink:label="label_NoTradingSymbolFlag" xlink:role="http://www.xbrl.org/2003/role/label" xml:lang="en-US">No Trading Symbol Flag</link:label>
				<link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="dei_NoTradingSymbolFlag" xlink:to="label_NoTradingSymbolFlag" priority="1"/>		
            </link:labelLink>
         </link:linkbase>
      </appinfo>
  </annotation>   
   <element name="MSCIEAFEIndexNetMember" id="bifi_MSCIEAFEIndexNetMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" abstract="true" nillable="true" xbrli:periodType="duration"/>
	<element name="OtherAssetsLessLiabilitiesMember" id="bifi_OtherAssetsLessLiabilitiesMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" abstract="true" nillable="true" xbrli:periodType="duration"/>
	<element name="OtherMember" id="bifi_OtherMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" abstract="true" nillable="true" xbrli:periodType="duration"/>
	<element name="ToyotaMotorCorpMember" id="bifi_ToyotaMotorCorpMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" abstract="true" nillable="true" xbrli:periodType="duration"/>
	<element name="SiemensAGClassNMember" id="bifi_SiemensAGClassNMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" abstract="true" nillable="true" xbrli:periodType="duration"/>
	<element name="ShellPLCMember" id="bifi_ShellPLCMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" abstract="true" nillable="true" xbrli:periodType="duration"/>
	<element name="SAPSEMember" id="bifi_SAPSEMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" abstract="true" nillable="true" xbrli:periodType="duration"/>
	<element name="NestleSAClassNMember" id="bifi_NestleSAClassNMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" abstract="true" nillable="true" xbrli:periodType="duration"/>
	<element name="NovartisAGClassNMember" id="bifi_NovartisAGClassNMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" abstract="true" nillable="true" xbrli:periodType="duration"/>
	<element name="HSBCHoldingsPLCMember" id="bifi_HSBCHoldingsPLCMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" abstract="true" nillable="true" xbrli:periodType="duration"/>
	<element name="AstraZenecaPLCMember" id="bifi_AstraZenecaPLCMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" abstract="true" nillable="true" xbrli:periodType="duration"/>
	<element name="RocheHoldingAGMember" id="bifi_RocheHoldingAGMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" abstract="true" nillable="true" xbrli:periodType="duration"/>
	<element name="ASMLHoldingNVMember" id="bifi_ASMLHoldingNVMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" abstract="true" nillable="true" xbrli:periodType="duration"/>
	<element name="C000099168Member" id="bifi_C000099168Member" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" abstract="true" nillable="true" xbrli:periodType="duration"/>
	<element name="C000244427Member" id="bifi_C000244427Member" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" abstract="true" nillable="true" xbrli:periodType="duration"/>
	<element name="C000201956Member" id="bifi_C000201956Member" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" abstract="true" nillable="true" xbrli:periodType="duration"/>
	<element name="C000008447Member" id="bifi_C000008447Member" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" abstract="true" nillable="true" xbrli:periodType="duration"/>
	<element name="C000008448Member" id="bifi_C000008448Member" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" abstract="true" nillable="true" xbrli:periodType="duration"/>
	<element name="C000008452Member" id="bifi_C000008452Member" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" abstract="true" nillable="true" xbrli:periodType="duration"/>
	<element name="C000008451Member" id="bifi_C000008451Member" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" abstract="true" nillable="true" xbrli:periodType="duration"/>
	<element name="C000201957Member" id="bifi_C000201957Member" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" abstract="true" nillable="true" xbrli:periodType="duration"/>
	<element name="C000099169Member" id="bifi_C000099169Member" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" abstract="true" nillable="true" xbrli:periodType="duration"/>
	<element name="Russell3000IndexMember" id="bifi_Russell3000IndexMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" abstract="true" nillable="true" xbrli:periodType="duration"/>
	<element name="Russell2000IndexMember" id="bifi_Russell2000IndexMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" abstract="true" nillable="true" xbrli:periodType="duration"/>

</schema>
