Logged in to different application without putting creds through external SAML2.0 IDP

logged in to different application without putting creds through external identity provider - SAML 2.0

We have one application which has home grown solution for authentication, when user is logged into that application we have one section from which he can go the other application(having different domain) without putting credentials. When he visit that section will check if that particular user is having permission to access other application or not, if user is having permission to access the application then through that section user should directly logged in to that application.

for above scenario we are trying to use external SAML2.0 IDP , can anybody help me to know the how should be the workflow in that case.

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