Metallic or metallised, filiform reinforcement (R), for example, a carbon steel wire, film, ribbon or cable, on the outside of which is deposited a layer of metal (Ms), referred to as "surface metal", selected from copper, nickel and copper-nickel alloys, said surface metal layer (Ms) being itself coated, at least partially, with at least one graphene layer(GR, Grf); preferably, at least one functional group that can be cross-linked with a polymer matrix being grafted onto said graphene. This reinforcement is effectively protected against corrosion by the graphene present at the surface, (17); advantageously, the reinforcement can be glued directly, without an adhesion primer or the addition of a metallic salt, to an unsaturated rubber matrix such as natural rubber, due to the possible functionalisation of said graphene.