A method is provided for transmission, by a server in a communication network, of a multimedia message, which includes a video sequence, to a remote terminal. The method includes detecting the video sequence in the message by the server, wherein the method includes the following additional steps: coding by the server of the video sequence in a scalable stream including a base layer and one or more refinement layers, when the video sequence is not already coded in such a stream, storage of at least one of the refinement layers in a storage server, and sending the base layer and of a link to recover the at least one duly stored refinement layer to the remote terminal.