An assembly includes a first part and a second part separate from the first part, the first and second parts being intended to be in frictional contact, the first part being made of an organic matrix composite material that has, on its surface, an abrasion-resistant area including a resin that contains polytetrafluoroethylene particles, the polytetrafluoroethylene particles being only present at the surface of the first part, and the second part being made of an organic matrix composite material and being in contact with the abrasion-resistant area of the first part.