The invention relates to the reuse of identity data from an identity module in a user equipment by a peripheral device. In order to enable the reuse of identity data from an identity module, such as a SIM or UICC card, in a user equipment by a peripheral device, the identifier of the peripheral device is transmitted to the module upon establishment of communication and authentication between the module and the peripheral device. Subsequently, identity data are transmitted, preferably selectively, by the identity module to the peripheral device when the transmitted identifier is recognized as one of the identifiers of the peripheral devices that were previously stored in the identity module. The identity data are reused by the peripheral device in order to establish a communication with the home network of the user equipment or with a local wireless network.