The present invention relates to a method of establishing a connection between a mobile communicating object and a remote server, by way of a mobile communication network where the communicating object has a list encompassing a determined number of preferred mobile communication networks with which the object can be made to connect. The method comprises a first step where the communicating object establishes a radio connection with one of the networks available so as to transmit a first series of audit information (such as quality of signal, error rate, base station cell identifier) to the remote server, a step of verification by the server of the data received and, in the event of anomaly, of engagement of a procedure for modifying the selection of the mobile communication network to which the mobile object is connected.