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

<!--XBRL Document Created with the Workiva Platform-->
<!--Copyright 2026 Workiva-->
<!--r:01a111f7-03a0-709d-9fb0-1f138296206b,g:4d6ea37c-cada-4f7c-bb29-bf46278807e6-->
<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-20261005.xsd#CoverPage"/>
  <link:presentationLink xlink:role="http://spyre.com/role/CoverPage" xlink:type="extended">
    <link:loc xlink:type="locator" xlink:label="loc_dei_CoverAbstract_01a111f7-03a0-7523-802d-e291d786d981" xlink:href="https://xbrl.sec.gov/dei/2025/dei-2025.xsd#dei_CoverAbstract"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_DocumentType_01a111f7-03a0-7185-9b46-e67365f873ea" 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_01a111f7-03a0-7523-802d-e291d786d981" xlink:to="loc_dei_DocumentType_01a111f7-03a0-7185-9b46-e67365f873ea" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityRegistrantName_01a111f7-03a0-71ff-b54f-f8ef48d471b4" 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_01a111f7-03a0-7523-802d-e291d786d981" xlink:to="loc_dei_EntityRegistrantName_01a111f7-03a0-71ff-b54f-f8ef48d471b4" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityIncorporationStateCountryCode_01a111f7-03a0-72fa-b487-4b54e18d424a" 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_01a111f7-03a0-7523-802d-e291d786d981" xlink:to="loc_dei_EntityIncorporationStateCountryCode_01a111f7-03a0-72fa-b487-4b54e18d424a" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityFileNumber_01a111f7-03a0-77ce-8004-c4bdb6529338" 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_01a111f7-03a0-7523-802d-e291d786d981" xlink:to="loc_dei_EntityFileNumber_01a111f7-03a0-77ce-8004-c4bdb6529338" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityTaxIdentificationNumber_01a111f7-03a0-7dd8-880b-1b35070b4d96" 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_01a111f7-03a0-7523-802d-e291d786d981" xlink:to="loc_dei_EntityTaxIdentificationNumber_01a111f7-03a0-7dd8-880b-1b35070b4d96" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityAddressAddressLine1_01a111f7-03a0-7dc3-8d5e-5f2301e740d9" 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_01a111f7-03a0-7523-802d-e291d786d981" xlink:to="loc_dei_EntityAddressAddressLine1_01a111f7-03a0-7dc3-8d5e-5f2301e740d9" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityAddressAddressLine2_01a111f7-03a0-7f82-8fb6-930544be9076" 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_01a111f7-03a0-7523-802d-e291d786d981" xlink:to="loc_dei_EntityAddressAddressLine2_01a111f7-03a0-7f82-8fb6-930544be9076" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityAddressAddressLine3_01a111f7-03a0-7fdd-81e6-d6965b09a448" 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_01a111f7-03a0-7523-802d-e291d786d981" xlink:to="loc_dei_EntityAddressAddressLine3_01a111f7-03a0-7fdd-81e6-d6965b09a448" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityAddressCityOrTown_01a111f7-03a0-71c4-83e3-4d3f443efecd" 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_01a111f7-03a0-7523-802d-e291d786d981" xlink:to="loc_dei_EntityAddressCityOrTown_01a111f7-03a0-71c4-83e3-4d3f443efecd" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityAddressStateOrProvince_01a111f7-03a0-7ba6-96ee-007284c0ae07" 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_01a111f7-03a0-7523-802d-e291d786d981" xlink:to="loc_dei_EntityAddressStateOrProvince_01a111f7-03a0-7ba6-96ee-007284c0ae07" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityAddressPostalZipCode_01a111f7-03a0-7710-b4fb-1d28bfc69a30" 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_01a111f7-03a0-7523-802d-e291d786d981" xlink:to="loc_dei_EntityAddressPostalZipCode_01a111f7-03a0-7710-b4fb-1d28bfc69a30" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_CityAreaCode_01a111f7-03a0-759f-919d-44e3ab71f619" 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_01a111f7-03a0-7523-802d-e291d786d981" xlink:to="loc_dei_CityAreaCode_01a111f7-03a0-759f-919d-44e3ab71f619" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_LocalPhoneNumber_01a111f7-03a0-79c4-8cd4-91581b0144cc" 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_01a111f7-03a0-7523-802d-e291d786d981" xlink:to="loc_dei_LocalPhoneNumber_01a111f7-03a0-79c4-8cd4-91581b0144cc" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_WrittenCommunications_01a111f7-03a0-7941-8e9f-4744c15d2a89" 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_01a111f7-03a0-7523-802d-e291d786d981" xlink:to="loc_dei_WrittenCommunications_01a111f7-03a0-7941-8e9f-4744c15d2a89" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_SolicitingMaterial_01a111f7-03a0-7a90-9068-fb3296aa509b" 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_01a111f7-03a0-7523-802d-e291d786d981" xlink:to="loc_dei_SolicitingMaterial_01a111f7-03a0-7a90-9068-fb3296aa509b" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_PreCommencementTenderOffer_01a111f7-03a0-73bf-874b-03063247975b" 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_01a111f7-03a0-7523-802d-e291d786d981" xlink:to="loc_dei_PreCommencementTenderOffer_01a111f7-03a0-73bf-874b-03063247975b" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_PreCommencementIssuerTenderOffer_01a111f7-03a0-7299-9a90-890a6d8575d8" 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_01a111f7-03a0-7523-802d-e291d786d981" xlink:to="loc_dei_PreCommencementIssuerTenderOffer_01a111f7-03a0-7299-9a90-890a6d8575d8" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_Security12bTitle_01a111f7-03a0-775a-abb5-fc6e72fe7896" 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_01a111f7-03a0-7523-802d-e291d786d981" xlink:to="loc_dei_Security12bTitle_01a111f7-03a0-775a-abb5-fc6e72fe7896" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_TradingSymbol_01a111f7-03a0-72ec-a056-bca5fd83dbf4" 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_01a111f7-03a0-7523-802d-e291d786d981" xlink:to="loc_dei_TradingSymbol_01a111f7-03a0-72ec-a056-bca5fd83dbf4" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_SecurityExchangeName_01a111f7-03a0-769a-9758-e2bb63575594" 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_01a111f7-03a0-7523-802d-e291d786d981" xlink:to="loc_dei_SecurityExchangeName_01a111f7-03a0-769a-9758-e2bb63575594" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityEmergingGrowthCompany_01a111f7-03a0-70dc-a176-9c1a91bd57e9" 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_01a111f7-03a0-7523-802d-e291d786d981" xlink:to="loc_dei_EntityEmergingGrowthCompany_01a111f7-03a0-70dc-a176-9c1a91bd57e9" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_AmendmentFlag_01a111f7-03a0-7e51-be0f-cecb6cd28957" 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_01a111f7-03a0-7523-802d-e291d786d981" xlink:to="loc_dei_AmendmentFlag_01a111f7-03a0-7e51-be0f-cecb6cd28957" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityCentralIndexKey_01a111f7-03a0-7a17-bdd5-9ba17f982ae6" 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_01a111f7-03a0-7523-802d-e291d786d981" xlink:to="loc_dei_EntityCentralIndexKey_01a111f7-03a0-7a17-bdd5-9ba17f982ae6" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_DocumentPeriodEndDate_01a111f7-03a0-7617-b90d-293054b5bff9" 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_01a111f7-03a0-7523-802d-e291d786d981" xlink:to="loc_dei_DocumentPeriodEndDate_01a111f7-03a0-7617-b90d-293054b5bff9" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_DocumentPeriodEndDate_01a111f7-03a0-78cd-9696-71ca94ee57d4" xlink:href="https://xbrl.sec.gov/dei/2025/dei-2025.xsd#dei_DocumentPeriodEndDate"/>
  </link:presentationLink>
</link:linkbase>
