Hi Hironobu,
Since the app servers for your apps are not necessarily the same, the only way to achieve this is if your IdP for each app is the same and it saves information in the browser to maintain user information. I know of at least two implementations that do this. Some servers that support both SAML and OIDC will even maintain sessions that are valid for both OIDC and SAML logins. In other words: App A uses an OIDC RP and the user logs in. App B uses a SAML SP to the same IdP (the RPs OP); the user is not prompted to login again.
Do you know the implementation of your IdP? You may be able to find information about your IdP to see what they do. Alternatively, you could just try it with sample apps and see what happens.
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Barbara Jensen
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