For each target cell determined by a handover decision process, a first message is transmitted from a source base station (20S) to a target base station (20T) servicing that target cell. The first message includes an identifier of a wireless device (10) having a communication link with the source base station and information for obtaining authentication data for this wireless device. The authentication data depends on a secret key available to the wireless device and the source base station and on an identity of the target cell. Upon failure of the communication link, a cell is selected at the wireless device, which transmits to that cell a reestablishment request message including its identifier and authentication data depending on the secret key and on an identity of the selected cell. If the selected cell is a target cell serviced by a target base station that received a first message, conformity of the authentication data included in the reestablishment request message with the authentication data obtained from this first message is verified to authorize transfer of the communication link to the selected cell.