Method for establishment of connections for each access of itinerant user terminals are data networks

A subset of corresponding connection profile is copied into auxiliary memory (MA2) of host private network (SGS1), if general user identifier assigned for each of access network stored in memory (MP1) is detected. Charging and/or billing data is sent to private network of main service provider in order to manage billing of each host connection for its user clients and/for it to bill service rendered for each host connection.