<?xml version="1.0" encoding="UTF-8"?>

<!--XBRL Document Created with the Workiva Platform-->
<!--Copyright 2026 Workiva-->
<!--r:01a069af-160e-7179-9f44-806f57901eed,g:0e0b5f07-db68-4778-b367-6a1bb126211c-->
<link:linkbase xmlns:link="http://www.xbrl.org/2003/linkbase" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xsi:schemaLocation="http://www.xbrl.org/2003/linkbase http://www.xbrl.org/2003/xbrl-linkbase-2003-12-31.xsd">
  <link:roleRef roleURI="http://spyre.com/role/CoverPage" xlink:type="simple" xlink:href="syre-20260908.xsd#CoverPage"/>
  <link:presentationLink xlink:role="http://spyre.com/role/CoverPage" xlink:type="extended">
    <link:loc xlink:type="locator" xlink:label="loc_dei_CoverAbstract_01a069af-160e-7796-ba19-26c297ad7d2d" xlink:href="https://xbrl.sec.gov/dei/2025/dei-2025.xsd#dei_CoverAbstract"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_DocumentType_01a069af-160e-7b42-8b34-b80ed4d00e89" xlink:href="https://xbrl.sec.gov/dei/2025/dei-2025.xsd#dei_DocumentType"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_01a069af-160e-7796-ba19-26c297ad7d2d" xlink:to="loc_dei_DocumentType_01a069af-160e-7b42-8b34-b80ed4d00e89" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityRegistrantName_01a069af-160e-79ee-acfa-b55bd9836501" xlink:href="https://xbrl.sec.gov/dei/2025/dei-2025.xsd#dei_EntityRegistrantName"/>
    <link:presentationArc order="2" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_01a069af-160e-7796-ba19-26c297ad7d2d" xlink:to="loc_dei_EntityRegistrantName_01a069af-160e-79ee-acfa-b55bd9836501" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityIncorporationStateCountryCode_01a069af-160e-71cd-8683-4678a58e84ad" xlink:href="https://xbrl.sec.gov/dei/2025/dei-2025.xsd#dei_EntityIncorporationStateCountryCode"/>
    <link:presentationArc order="3" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_01a069af-160e-7796-ba19-26c297ad7d2d" xlink:to="loc_dei_EntityIncorporationStateCountryCode_01a069af-160e-71cd-8683-4678a58e84ad" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityFileNumber_01a069af-160e-7fc6-91b5-a3fa6fee4b56" xlink:href="https://xbrl.sec.gov/dei/2025/dei-2025.xsd#dei_EntityFileNumber"/>
    <link:presentationArc order="4" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_01a069af-160e-7796-ba19-26c297ad7d2d" xlink:to="loc_dei_EntityFileNumber_01a069af-160e-7fc6-91b5-a3fa6fee4b56" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityTaxIdentificationNumber_01a069af-160e-7a7a-acbd-ecf93ec8510e" xlink:href="https://xbrl.sec.gov/dei/2025/dei-2025.xsd#dei_EntityTaxIdentificationNumber"/>
    <link:presentationArc order="5" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_01a069af-160e-7796-ba19-26c297ad7d2d" xlink:to="loc_dei_EntityTaxIdentificationNumber_01a069af-160e-7a7a-acbd-ecf93ec8510e" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityAddressAddressLine1_01a069af-160e-76f6-a723-66ef87a15827" xlink:href="https://xbrl.sec.gov/dei/2025/dei-2025.xsd#dei_EntityAddressAddressLine1"/>
    <link:presentationArc order="6" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_01a069af-160e-7796-ba19-26c297ad7d2d" xlink:to="loc_dei_EntityAddressAddressLine1_01a069af-160e-76f6-a723-66ef87a15827" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityAddressAddressLine2_01a069af-160e-76ae-a8a8-13ea79fd0c67" xlink:href="https://xbrl.sec.gov/dei/2025/dei-2025.xsd#dei_EntityAddressAddressLine2"/>
    <link:presentationArc order="7" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_01a069af-160e-7796-ba19-26c297ad7d2d" xlink:to="loc_dei_EntityAddressAddressLine2_01a069af-160e-76ae-a8a8-13ea79fd0c67" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityAddressAddressLine3_01a069af-160e-7a54-a28b-f0cc9cb5ded1" xlink:href="https://xbrl.sec.gov/dei/2025/dei-2025.xsd#dei_EntityAddressAddressLine3"/>
    <link:presentationArc order="8" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_01a069af-160e-7796-ba19-26c297ad7d2d" xlink:to="loc_dei_EntityAddressAddressLine3_01a069af-160e-7a54-a28b-f0cc9cb5ded1" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityAddressCityOrTown_01a069af-160e-7f4d-bcfd-c78b52f1953f" xlink:href="https://xbrl.sec.gov/dei/2025/dei-2025.xsd#dei_EntityAddressCityOrTown"/>
    <link:presentationArc order="9" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_01a069af-160e-7796-ba19-26c297ad7d2d" xlink:to="loc_dei_EntityAddressCityOrTown_01a069af-160e-7f4d-bcfd-c78b52f1953f" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityAddressStateOrProvince_01a069af-160e-786f-a5ed-3098c5fce069" xlink:href="https://xbrl.sec.gov/dei/2025/dei-2025.xsd#dei_EntityAddressStateOrProvince"/>
    <link:presentationArc order="10" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_01a069af-160e-7796-ba19-26c297ad7d2d" xlink:to="loc_dei_EntityAddressStateOrProvince_01a069af-160e-786f-a5ed-3098c5fce069" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityAddressPostalZipCode_01a069af-160e-777c-9367-e7fe85712f3b" xlink:href="https://xbrl.sec.gov/dei/2025/dei-2025.xsd#dei_EntityAddressPostalZipCode"/>
    <link:presentationArc order="11" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_01a069af-160e-7796-ba19-26c297ad7d2d" xlink:to="loc_dei_EntityAddressPostalZipCode_01a069af-160e-777c-9367-e7fe85712f3b" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_CityAreaCode_01a069af-160e-7dd1-9256-f43a6e070dea" xlink:href="https://xbrl.sec.gov/dei/2025/dei-2025.xsd#dei_CityAreaCode"/>
    <link:presentationArc order="12" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_01a069af-160e-7796-ba19-26c297ad7d2d" xlink:to="loc_dei_CityAreaCode_01a069af-160e-7dd1-9256-f43a6e070dea" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_LocalPhoneNumber_01a069af-160e-7c80-9652-9a89c7fb1d7d" xlink:href="https://xbrl.sec.gov/dei/2025/dei-2025.xsd#dei_LocalPhoneNumber"/>
    <link:presentationArc order="13" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_01a069af-160e-7796-ba19-26c297ad7d2d" xlink:to="loc_dei_LocalPhoneNumber_01a069af-160e-7c80-9652-9a89c7fb1d7d" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_WrittenCommunications_01a069af-160e-7056-a513-147769ed4a63" xlink:href="https://xbrl.sec.gov/dei/2025/dei-2025.xsd#dei_WrittenCommunications"/>
    <link:presentationArc order="14" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_01a069af-160e-7796-ba19-26c297ad7d2d" xlink:to="loc_dei_WrittenCommunications_01a069af-160e-7056-a513-147769ed4a63" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_SolicitingMaterial_01a069af-160e-797f-8dd6-adb599f7d53b" xlink:href="https://xbrl.sec.gov/dei/2025/dei-2025.xsd#dei_SolicitingMaterial"/>
    <link:presentationArc order="15" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_01a069af-160e-7796-ba19-26c297ad7d2d" xlink:to="loc_dei_SolicitingMaterial_01a069af-160e-797f-8dd6-adb599f7d53b" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_PreCommencementTenderOffer_01a069af-160e-77c9-b1d1-0dffeea5b69c" xlink:href="https://xbrl.sec.gov/dei/2025/dei-2025.xsd#dei_PreCommencementTenderOffer"/>
    <link:presentationArc order="16" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_01a069af-160e-7796-ba19-26c297ad7d2d" xlink:to="loc_dei_PreCommencementTenderOffer_01a069af-160e-77c9-b1d1-0dffeea5b69c" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_PreCommencementIssuerTenderOffer_01a069af-160e-76fa-b6e9-4277ac7948f6" xlink:href="https://xbrl.sec.gov/dei/2025/dei-2025.xsd#dei_PreCommencementIssuerTenderOffer"/>
    <link:presentationArc order="17" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_01a069af-160e-7796-ba19-26c297ad7d2d" xlink:to="loc_dei_PreCommencementIssuerTenderOffer_01a069af-160e-76fa-b6e9-4277ac7948f6" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_Security12bTitle_01a069af-160e-7c0a-b98b-651de5d16663" xlink:href="https://xbrl.sec.gov/dei/2025/dei-2025.xsd#dei_Security12bTitle"/>
    <link:presentationArc order="18" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_01a069af-160e-7796-ba19-26c297ad7d2d" xlink:to="loc_dei_Security12bTitle_01a069af-160e-7c0a-b98b-651de5d16663" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_TradingSymbol_01a069af-160e-7cf4-b8db-9319e97d63ce" xlink:href="https://xbrl.sec.gov/dei/2025/dei-2025.xsd#dei_TradingSymbol"/>
    <link:presentationArc order="19" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_01a069af-160e-7796-ba19-26c297ad7d2d" xlink:to="loc_dei_TradingSymbol_01a069af-160e-7cf4-b8db-9319e97d63ce" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_SecurityExchangeName_01a069af-160e-79b8-81d6-5f7e1b58a3ab" xlink:href="https://xbrl.sec.gov/dei/2025/dei-2025.xsd#dei_SecurityExchangeName"/>
    <link:presentationArc order="20" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_01a069af-160e-7796-ba19-26c297ad7d2d" xlink:to="loc_dei_SecurityExchangeName_01a069af-160e-79b8-81d6-5f7e1b58a3ab" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityEmergingGrowthCompany_01a069af-160e-7b59-b82b-efc5e86d3e56" xlink:href="https://xbrl.sec.gov/dei/2025/dei-2025.xsd#dei_EntityEmergingGrowthCompany"/>
    <link:presentationArc order="21" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_01a069af-160e-7796-ba19-26c297ad7d2d" xlink:to="loc_dei_EntityEmergingGrowthCompany_01a069af-160e-7b59-b82b-efc5e86d3e56" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_AmendmentFlag_01a069af-160e-762c-bfda-22bd852683aa" xlink:href="https://xbrl.sec.gov/dei/2025/dei-2025.xsd#dei_AmendmentFlag"/>
    <link:presentationArc order="22" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_01a069af-160e-7796-ba19-26c297ad7d2d" xlink:to="loc_dei_AmendmentFlag_01a069af-160e-762c-bfda-22bd852683aa" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityCentralIndexKey_01a069af-160e-7ca4-9d94-4dc4dfa8b379" xlink:href="https://xbrl.sec.gov/dei/2025/dei-2025.xsd#dei_EntityCentralIndexKey"/>
    <link:presentationArc order="23" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_01a069af-160e-7796-ba19-26c297ad7d2d" xlink:to="loc_dei_EntityCentralIndexKey_01a069af-160e-7ca4-9d94-4dc4dfa8b379" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_DocumentPeriodEndDate_01a069af-160e-7384-80b9-f115bc43dcee" xlink:href="https://xbrl.sec.gov/dei/2025/dei-2025.xsd#dei_DocumentPeriodEndDate"/>
    <link:presentationArc order="24" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_01a069af-160e-7796-ba19-26c297ad7d2d" xlink:to="loc_dei_DocumentPeriodEndDate_01a069af-160e-7384-80b9-f115bc43dcee" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_DocumentPeriodEndDate_01a069af-160e-729f-b539-40e6d9da0e8f" xlink:href="https://xbrl.sec.gov/dei/2025/dei-2025.xsd#dei_DocumentPeriodEndDate"/>
  </link:presentationLink>
</link:linkbase>
