Discovery during authentication is a unique-to-federation problem caused by the need for user selection of an authentication source. Within a single domain, authentication sources are often combined by "stacking", in which credentials are played against multiple back-ends in some combination. This doesn't work across domains because it would expose user credentials to authentication systems controlled by unrelated organizations. As a result, the authentication source has to be selected before credentials are supplied, either explicitly through user choice, or by deriving something from a user identifier.

See also the Shibboleth topic on IdPDiscovery.