The invention relates generally to a method for initiating an enhanced communication connection, between a calling party (A) and a called party (B), within a telecommunication network system comprising multiple interconnected networks, said enhanced communication connection comprising a circuit switched connection and a packet-switched connection, the method according to the invention is characterized in the steps of processing the setting up of said circuit-switched connection and said packet-switched connection based on one single response invoked by said called party (B). In one embodiment of the method the single response could be the pressing of a button or the selection of a displayed icon on a terminal.