For processing digital communication traffic in a network comprising a central communication processing structure (402, 403; 502, 503) and a number of separate devices (401, 405; 501, 505) of users designed for communication with the central communication processing structure, each time, a communication coming from one of the separate devices (401; 501) is received which communication is addressed to another of the separate devices (405; 505). It is then checked whether the received communication meets at least one condition applicable to the communication or the sender (401; 501). In reaction to meeting the condition, a message is added to the communication and the communication including the added message is sent to the addressed device (405; 505).