Communications method between a combinational terminal and a multimedia terminal

Communication method between a first terminal and a second terminal on a communications network includes establishing a first connection between the terminals, the first connection being of a first media type at the first terminal and of a multimedia type at the second terminal; establishing a second connection between a repository apparatus and the second terminal, the second connection being coupled to the first connection and being of a second media type at the repository apparatus different from the first media type; said multimedia type including the first and the second media types; disabling the second connection after a request for a third connection between the terminals, the third connection being of the second media type at the first terminal; and establishing the third connection, the first and third connections forming a combinational session at the first terminal and a multimedia type connection at the second terminal.