A method of transferring a session among a plurality of user equipment, UE, in communication with a service consistency and continuity, SCC, application server, AS, functionality that resides on a gateway, the method comprising: receiving, at the SCC AS, a third party call control, 3PCC, mode of operation indication indicating a network-based mode of operation or a controller-based mode of operation; receiving (510, 584), at the SCC AS, a media transfer request from a first UE to transfer at least one media stream in the session to at least one target UE, wherein the first UE includes service control over the session; authorizing, at the SCC AS, the transfer of the at least one media stream from the first UE to the at least one target UE independently and separately of a transfer of service control of the session; sending (512, 586), from the SCC AS, to the at least one target UE a media transfer request to transfer the at least one media stream; operating the SCC AS according to the received mode of operation indication, wherein, if the mode of operation indication indicates the network-based mode of operation, the SCC AS acts as a routing back-to-back user agent and, if the mode of operation indication indicates the controller-based mode of operation, the SCC AS acts like a session initiation protocol, SIP, proxy; sending (526, 548), from the SCC AS, to the first UE an acknowledgement when the transfer of the at least one media stream is complete so that the at least one media stream to the first UE is deactivated; receiving, at the SCC AS, from the first UE signaling regarding service control of the at least one media stream to the at least one target UE; and managing, at the SCC AS, the at least one media stream to the at least one target UE based on the first UE control signaling. receiving, at the SCC AS, a third party call control, 3PCC, mode of operation indication indicating a network-based mode of operation or a controller-based mode of operation; receiving (510, 584), at the SCC AS, a media transfer request from a first UE to transfer at least one media stream in the session to at least one target UE, wherein the first UE includes service control over the session; authorizing, at the SCC AS, the transfer of the at least one media stream from the first UE to the at least one target UE independently and separately of a transfer of service control of the session; sending (512, 586), from the SCC AS, to the at least one target UE a media transfer request to transfer the at least one media stream; operating the SCC AS according to the received mode of operation indication, wherein, if the mode of operation indication indicates the network-based mode of operation, the SCC AS acts as a routing back-to-back user agent and, if the mode of operation indication indicates the controller-based mode of operation, the SCC AS acts like a session initiation protocol, SIP, proxy; sending (526, 548), from the SCC AS, to the first UE an acknowledgement when the transfer of the at least one media stream is complete so that the at least one media stream to the first UE is deactivated; receiving, at the SCC AS, from the first UE signaling regarding service control of the at least one media stream to the at least one target UE; and managing, at the SCC AS, the at least one media stream to the at least one target UE based on the first UE control signaling.