A system, method, and apparatus for implementing multimedia call continuity solve the problem that when a domain transfer happens, part of a media flow in a multimedia session cannot be transfer between bearers of different access modes. Besides a remote UE, the system further includes a multi-mode terminal MTF UE that supports media flow transfer between multiple modes and carries media flow transfer context information in an initiated media stream transfer request, and a media transfer function (MTF) that acts as an agent to initiate and perform a media renegotiation with the remote UE, according to the media flow transfer context information carried in the request. After the media renegotiation, the MTF UE or the MTF is adapted to release the media flow that needs to be transferred before the media renegotiation. Therefore, when a domain transfer happens, the media stream can be transferred between the bearers of different access modes that the MTF UE supports.