In case of both circuit-switched and a packet-switched connection handover from a source (200) to a target (510) radio access network or base station subsystem a new target ID indication message (415.1; 415.2) is sent to a core network node (422) either from a core network element (215) or from the target radio access network or base station subsystem, depending on whether there is an interface (Gs) between the core network element and the core network node. In one embodiment, in contrast to the prior art, the new target ID indication message is mandated to only identify one target base station or target radio access network.