Conference call session migration which automatically configures and establishes a target conference call session during a source conference call session

A method, system, and non-transitory computer-readable storage media for conference call session migration. The conference call session migration includes automatically configuring and establishing a target conference call session during a source conference call session; automatically converting session state and session history from a source format of the source conference call session to a target format of the target conference call session, and automatically connecting per-user clients to the target conference call session. For example, in response to a request from a session manger, the participants on the source conference call session are added to the target conference call session in order to add new media or other conferencing capabilities subject to network and server capabilities, user devices, user conferencing software, user location, user preferences, and policies.