The present invention relates to an implantable material having at least one external surface grafted with a film comprising carboxylate and sulfonate functions wherein the film is simultaneously synthesized and grafted directly on said external surface by radical reaction of a bifunctional adhesion primer of Formula (I) or by radical reaction of an adhesion primer and a bifunctional polymerizable monomer of Formula (II).The invention also relates to a process for directly synthesizing and grafting of a film according to the invention onto at least one external surface of an implantable material. The invention further relates to the use of a grafted implantable material for the manufacture of an antiproliferative and/or antibacterial implantable medical device. The invention also relates to compounds of Formula (I) and Formula (II).