A method for connecting a terminal outside the range of its home network, to a network of a visited area covered by a plurality of networks. The method includes sending a request relating to the connection, including an identifier relating to the visited area, receiving a response message to the request, including a list of at least one network of the plurality of networks, to which the terminal should connect in priority, disconnecting the terminal and connecting the terminal to the priority network of the list. A processing method includes receiving the request including an identifier relating to the visited area, obtaining, on the basis of the identifier, the list of at least one network from the plurality of networks, to which the terminal should connect in priority, and sending a response message to the request, including the list.