A method is provided for the exchange of media flows between a terminal used by a user and a connection termination during the same session of interpersonal communication. The method includes a personalization step for running a personalization program associated with an activation command by a personalization table, following the selection of the activation command by the user, for the personalization of exchanged media flows. The method includes a step for the transmission of the exchanged media flows that can be personalization at least one relay address previously defined for the personalization of the flows, and a step for the retransmission, from the relay address, of the flows oriented towards the termination, the flows being personalized or not according to whether the personalization step has been carried out or not.