Method for establishing a session between a first mobile terminal and a second terminal, comprising the following steps implemented by the first terminal: • a step (E2) of obtaining an identifier of a WebRTC server at least from a subscriber module for a subscriber to a mobile electronic communications operator, contained in the first terminal, the subscriber module containing a partial or complete address of the WebRTC server, an identifier of a subscriber and an identifier of the operator, • a step of constructing an address comprising the identifier of the WebRTC server, • a step of transmitting a request to access a WebRTC service to the WebRTC server, the access request using the constructed address, • a step (E5) of receiving at least one instruction from the WebRTC server, • a step (E6) of generating, depending on the at least one received instruction, a session request comprising a first set, relating to the first terminal, of at least one characteristic parameter of the requested session, and an identifier of the second terminal, • a step (E7) of transmitting, to the second terminal via a server which is able to process the session request, the session request generated during the generating step, • a step (E8) of receiving, from the second terminal via said server which is able to process the session request, a message comprising a second set of at least one characteristic parameter of the requested session, the second set relating to the second terminal and having a non-zero intersection with the first set, • a step (E9) of establishing the session between the first, mobile terminal and the second terminal, using session parameters common to the two terminals, at least with the aid of the non-zero intersection of the sets of parameters. • a step (E2) of obtaining an identifier of a WebRTC server at least from a subscriber module for a subscriber to a mobile electronic communications operator, contained in the first terminal, the subscriber module containing a partial or complete address of the WebRTC server, an identifier of a subscriber and an identifier of the operator, • a step of constructing an address comprising the identifier of the WebRTC server, • a step of transmitting a request to access a WebRTC service to the WebRTC server, the access request using the constructed address, • a step (E5) of receiving at least one instruction from the WebRTC server, • a step (E6) of generating, depending on the at least one received instruction, a session request comprising a first set, relating to the first terminal, of at least one characteristic parameter of the requested session, and an identifier of the second terminal, • a step (E7) of transmitting, to the second terminal via a server which is able to process the session request, the session request generated during the generating step, • a step (E8) of receiving, from the second terminal via said server which is able to process the session request, a message comprising a second set of at least one characteristic parameter of the requested session, the second set relating to the second terminal and having a non-zero intersection with the first set, • a step (E9) of establishing the session between the first, mobile terminal and the second terminal, using session parameters common to the two terminals, at least with the aid of the non-zero intersection of the sets of parameters. <EOS>