To set up a call coming from a user's mobile radio telephone terminal to a receiver terminal for example a home automation terminal, the result of a biometric authentication of the user in the mobile terminal and of a predetermined result are applied to algorithms for authenticating of the mobile terminal implemented in the mobile terminal and fixed storage arrangement in the radio telephone network. If the signature produced by the algorithm in the mobile terminal and transmitted by it and the signature result produced by the algorithm in the fixed storage arrangement are identical, an identifier of the mobile terminal is transmitted from the fixed storage arrangement to the called receiver terminal. The outgoing call is accepted by the receiver terminal only when the latter has recognized the transmitted identifier, or in a variant an identifier of removable supplementary card included in the mobile terminal.