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

<!--XBRL Document Created with the Workiva Platform-->
<!--Copyright 2024 Workiva-->
<!--r:3de53000-7540-4d02-bb6d-bea964d811e9,g:b078b13b-11ff-4ef8-aef6-11df4c89692e-->
<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://caladrius.com/role/Cover" xlink:type="simple" xlink:href="clbs-20240812.xsd#Cover"/>
  <link:presentationLink xlink:role="http://caladrius.com/role/Cover" xlink:type="extended">
    <link:loc xlink:type="locator" xlink:label="loc_dei_CoverAbstract_fd4dae0c-ee87-4d90-a699-6e305b090947" xlink:href="https://xbrl.sec.gov/dei/2024/dei-2024.xsd#dei_CoverAbstract"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_DocumentType_d28e0f8e-430d-4cb3-8c45-e631129f8f13" xlink:href="https://xbrl.sec.gov/dei/2024/dei-2024.xsd#dei_DocumentType"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_fd4dae0c-ee87-4d90-a699-6e305b090947" xlink:to="loc_dei_DocumentType_d28e0f8e-430d-4cb3-8c45-e631129f8f13" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_DocumentPeriodEndDate_82c4b15f-006b-4ccb-9cb8-a75731104b68" xlink:href="https://xbrl.sec.gov/dei/2024/dei-2024.xsd#dei_DocumentPeriodEndDate"/>
    <link:presentationArc order="2" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_fd4dae0c-ee87-4d90-a699-6e305b090947" xlink:to="loc_dei_DocumentPeriodEndDate_82c4b15f-006b-4ccb-9cb8-a75731104b68" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityRegistrantName_605f024e-8f10-426d-9414-1991679e48b3" xlink:href="https://xbrl.sec.gov/dei/2024/dei-2024.xsd#dei_EntityRegistrantName"/>
    <link:presentationArc order="3" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_fd4dae0c-ee87-4d90-a699-6e305b090947" xlink:to="loc_dei_EntityRegistrantName_605f024e-8f10-426d-9414-1991679e48b3" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityCentralIndexKey_0137c7d7-ebbf-4be5-92a1-f8ecde9b2ea8" xlink:href="https://xbrl.sec.gov/dei/2024/dei-2024.xsd#dei_EntityCentralIndexKey"/>
    <link:presentationArc order="4" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_fd4dae0c-ee87-4d90-a699-6e305b090947" xlink:to="loc_dei_EntityCentralIndexKey_0137c7d7-ebbf-4be5-92a1-f8ecde9b2ea8" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_AmendmentFlag_6ddd4179-94f7-4b4b-bf76-a1c78e99ad0b" xlink:href="https://xbrl.sec.gov/dei/2024/dei-2024.xsd#dei_AmendmentFlag"/>
    <link:presentationArc order="5" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_fd4dae0c-ee87-4d90-a699-6e305b090947" xlink:to="loc_dei_AmendmentFlag_6ddd4179-94f7-4b4b-bf76-a1c78e99ad0b" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityIncorporationStateCountryCode_7562df97-24fa-451b-ab4d-363ee2bb70a9" xlink:href="https://xbrl.sec.gov/dei/2024/dei-2024.xsd#dei_EntityIncorporationStateCountryCode"/>
    <link:presentationArc order="6" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_fd4dae0c-ee87-4d90-a699-6e305b090947" xlink:to="loc_dei_EntityIncorporationStateCountryCode_7562df97-24fa-451b-ab4d-363ee2bb70a9" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityFileNumber_13b12564-3781-43ae-97c1-8a1c63489edb" xlink:href="https://xbrl.sec.gov/dei/2024/dei-2024.xsd#dei_EntityFileNumber"/>
    <link:presentationArc order="7" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_fd4dae0c-ee87-4d90-a699-6e305b090947" xlink:to="loc_dei_EntityFileNumber_13b12564-3781-43ae-97c1-8a1c63489edb" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityTaxIdentificationNumber_482f3df9-acf6-4fc0-91aa-0a1b72f90496" xlink:href="https://xbrl.sec.gov/dei/2024/dei-2024.xsd#dei_EntityTaxIdentificationNumber"/>
    <link:presentationArc order="8" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_fd4dae0c-ee87-4d90-a699-6e305b090947" xlink:to="loc_dei_EntityTaxIdentificationNumber_482f3df9-acf6-4fc0-91aa-0a1b72f90496" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityAddressAddressLine1_7869e057-65b8-47df-a332-a564686f8d56" xlink:href="https://xbrl.sec.gov/dei/2024/dei-2024.xsd#dei_EntityAddressAddressLine1"/>
    <link:presentationArc order="9" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_fd4dae0c-ee87-4d90-a699-6e305b090947" xlink:to="loc_dei_EntityAddressAddressLine1_7869e057-65b8-47df-a332-a564686f8d56" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityAddressAddressLine2_17c3351a-e9a3-435d-b3ca-cf2c5fffa14e" xlink:href="https://xbrl.sec.gov/dei/2024/dei-2024.xsd#dei_EntityAddressAddressLine2"/>
    <link:presentationArc order="10" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_fd4dae0c-ee87-4d90-a699-6e305b090947" xlink:to="loc_dei_EntityAddressAddressLine2_17c3351a-e9a3-435d-b3ca-cf2c5fffa14e" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityAddressCityOrTown_9b4251a1-d7d3-4645-abb4-edd00e95f36b" xlink:href="https://xbrl.sec.gov/dei/2024/dei-2024.xsd#dei_EntityAddressCityOrTown"/>
    <link:presentationArc order="11" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_fd4dae0c-ee87-4d90-a699-6e305b090947" xlink:to="loc_dei_EntityAddressCityOrTown_9b4251a1-d7d3-4645-abb4-edd00e95f36b" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityAddressStateOrProvince_5cedf59b-08e1-467a-82c5-13d6eacbe606" xlink:href="https://xbrl.sec.gov/dei/2024/dei-2024.xsd#dei_EntityAddressStateOrProvince"/>
    <link:presentationArc order="12" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_fd4dae0c-ee87-4d90-a699-6e305b090947" xlink:to="loc_dei_EntityAddressStateOrProvince_5cedf59b-08e1-467a-82c5-13d6eacbe606" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityAddressPostalZipCode_0215bf3d-eac1-48f5-b339-ab840ce1ca37" xlink:href="https://xbrl.sec.gov/dei/2024/dei-2024.xsd#dei_EntityAddressPostalZipCode"/>
    <link:presentationArc order="13" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_fd4dae0c-ee87-4d90-a699-6e305b090947" xlink:to="loc_dei_EntityAddressPostalZipCode_0215bf3d-eac1-48f5-b339-ab840ce1ca37" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_CityAreaCode_33c59b8e-dd7c-4c1a-8014-428bf0111e31" xlink:href="https://xbrl.sec.gov/dei/2024/dei-2024.xsd#dei_CityAreaCode"/>
    <link:presentationArc order="14" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_fd4dae0c-ee87-4d90-a699-6e305b090947" xlink:to="loc_dei_CityAreaCode_33c59b8e-dd7c-4c1a-8014-428bf0111e31" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_LocalPhoneNumber_93c951f4-eb46-4950-b211-70e83f865cd8" xlink:href="https://xbrl.sec.gov/dei/2024/dei-2024.xsd#dei_LocalPhoneNumber"/>
    <link:presentationArc order="15" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_fd4dae0c-ee87-4d90-a699-6e305b090947" xlink:to="loc_dei_LocalPhoneNumber_93c951f4-eb46-4950-b211-70e83f865cd8" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_WrittenCommunications_de8595fb-fd74-47a5-904b-e3c8dd56efde" xlink:href="https://xbrl.sec.gov/dei/2024/dei-2024.xsd#dei_WrittenCommunications"/>
    <link:presentationArc order="16" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_fd4dae0c-ee87-4d90-a699-6e305b090947" xlink:to="loc_dei_WrittenCommunications_de8595fb-fd74-47a5-904b-e3c8dd56efde" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_SolicitingMaterial_a8920a69-109b-486c-95e4-ed67359f44ca" xlink:href="https://xbrl.sec.gov/dei/2024/dei-2024.xsd#dei_SolicitingMaterial"/>
    <link:presentationArc order="17" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_fd4dae0c-ee87-4d90-a699-6e305b090947" xlink:to="loc_dei_SolicitingMaterial_a8920a69-109b-486c-95e4-ed67359f44ca" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_PreCommencementTenderOffer_c6a662cf-9817-46b5-9284-dc3f11fbe2ff" xlink:href="https://xbrl.sec.gov/dei/2024/dei-2024.xsd#dei_PreCommencementTenderOffer"/>
    <link:presentationArc order="18" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_fd4dae0c-ee87-4d90-a699-6e305b090947" xlink:to="loc_dei_PreCommencementTenderOffer_c6a662cf-9817-46b5-9284-dc3f11fbe2ff" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_PreCommencementIssuerTenderOffer_b0ac91d4-8a57-4e5b-bba2-fead5055757a" xlink:href="https://xbrl.sec.gov/dei/2024/dei-2024.xsd#dei_PreCommencementIssuerTenderOffer"/>
    <link:presentationArc order="19" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_fd4dae0c-ee87-4d90-a699-6e305b090947" xlink:to="loc_dei_PreCommencementIssuerTenderOffer_b0ac91d4-8a57-4e5b-bba2-fead5055757a" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_Security12bTitle_77a61d70-741b-4e3d-8a2d-04c8aa2c4eec" xlink:href="https://xbrl.sec.gov/dei/2024/dei-2024.xsd#dei_Security12bTitle"/>
    <link:presentationArc order="20" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_fd4dae0c-ee87-4d90-a699-6e305b090947" xlink:to="loc_dei_Security12bTitle_77a61d70-741b-4e3d-8a2d-04c8aa2c4eec" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_TradingSymbol_b5412be2-426d-4b91-8499-19cbf4a4783b" xlink:href="https://xbrl.sec.gov/dei/2024/dei-2024.xsd#dei_TradingSymbol"/>
    <link:presentationArc order="21" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_fd4dae0c-ee87-4d90-a699-6e305b090947" xlink:to="loc_dei_TradingSymbol_b5412be2-426d-4b91-8499-19cbf4a4783b" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_SecurityExchangeName_2daa5096-1468-4fc8-be27-46e2d1889e0b" xlink:href="https://xbrl.sec.gov/dei/2024/dei-2024.xsd#dei_SecurityExchangeName"/>
    <link:presentationArc order="22" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_fd4dae0c-ee87-4d90-a699-6e305b090947" xlink:to="loc_dei_SecurityExchangeName_2daa5096-1468-4fc8-be27-46e2d1889e0b" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityEmergingGrowthCompany_17b81083-695c-4368-98f9-454b321193bf" xlink:href="https://xbrl.sec.gov/dei/2024/dei-2024.xsd#dei_EntityEmergingGrowthCompany"/>
    <link:presentationArc order="23" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_fd4dae0c-ee87-4d90-a699-6e305b090947" xlink:to="loc_dei_EntityEmergingGrowthCompany_17b81083-695c-4368-98f9-454b321193bf" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
  </link:presentationLink>
</link:linkbase>
