The invention regards a method for broadcasting multimedia signals towards a plurality of terminals as a data flow comprising successive packets, being organised into sessions, a session comprising a set of packets forming a whole, at least some of said sessions being transmitted under several versions, corresponding to different starting moments. According to the invention, such a method implements a mechanism for merging versions of a same session, so that at least two versions starting at different moments use, at first, session portions which are peculiar to them, and, subsequently, a shared session portion.