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 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 of receiving at least one instruction from the WebRTC server, • a step 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 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 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 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 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 of receiving at least one instruction from the WebRTC server, • a step 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 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 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 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.