Connection-selection method and telecommunication endpoint device

A connection-selection method and apparatus operating on an established first connection between a first endpoint device and a second endpoint device. An example embodiment of the method comprises a decision step in which a decision is made in the first endpoint device whether to switch from the first connection to a second connection between the first endpoint device and the second endpoint device. Upon the decision being to switch, an information-exchange step is carried out for exchanging connection information between the first endpoint device and the second endpoint device, enabling the establishment of the second connection. Furthermore a setup step is carried out for establishing the second connection under use of the connection information. The invention further relates to a telecommunication endpoint device that is connectable via a first connection and a second connection to a second endpoint device having a call-controller for handling the first connection to the second endpoint device, and having a protocol-handler.