The device (D) has a management module (MG) adapted to carry out multimedia stream connections between internal communication terminals (T1-T3) when a main communication session is set up and dedicated to a multimedia conference call between the internal terminals. The module sets up a parallel call between an external communication terminal (T4) and a requested internal terminal during an attempt to set up the parallel call between the external and internal terminals. The module is in the form of electronic circuits or software modules.
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