Process for manufacturing a part provided with a lubricating surface coating (10,10'), wherein: - a composition comprising at least one precursor of said lubricating surface coating having at least one organic group is prepared, - said composition is deposited on at least a portion of a surface of said part, said portion of a surface of the part being formed of at least one metallic material, - after said composition has been deposited on the surface of said part, at least one heat treatment is carried out at a temperature greater than 220°C so as to form a lubricating surface coating, characterized in that said composition comprises at least one precursor of said lubricating surface coating chosen from the group formed of the alkoxides of the following general formula: X(O-R 1) n'-a (R 2) a wherein: ▪ X is chosen from silicon (Si) and the metallic elements, ▪ R 1 is chosen from the hydrocarbyl groups, ▪ n' is a natural integer representing the valence of the element X, ▪ a is a natural integer of the interval [1; n' [, ▪ R 2 is chosen from the organic groups bonded to X by a carbon atom, so as to form, at the end of said heat treatment, a lubricating surface coating formed of an at least partially inorganic solid network incorporating solid carbon in at least one lubricating allotropic form in a dispersed state and trapped within said solid network, and characterized in that: - the heat treatment is carried out so as to form at least some graphene within said solid network, - said composition comprises at least one precursor chosen from the group formed of the metal alkoxides of the following general formula: M(O-R 3) m wherein: ▪ M is a metallic element chosen from aluminium, titanium, zirconium and vanadium, ▪ R 3 is a hydrocarbyl group of the formula [C n H 2n+1], n being an integer greater than or equal to 1, ▪ m is a natural integer representing the valence of the metallic element M. - a composition comprising at least one precursor of said lubricating surface coating having at least one organic group is prepared, - said composition is deposited on at least a portion of a surface of said part, said portion of a surface of the part being formed of at least one metallic material, - after said composition has been deposited on the surface of said part, at least one heat treatment is carried out at a temperature greater than 220°C so as to form a lubricating surface coating, characterized in that said composition comprises at least one precursor of said lubricating surface coating chosen from the group formed of the alkoxides of the following general formula: X(O-R 1) n'-a (R 2) a wherein: ▪ X is chosen from silicon (Si) and the metallic elements, ▪ R 1 is chosen from the hydrocarbyl groups, ▪ n' is a natural integer representing the valence of the element X, ▪ a is a natural integer of the interval [1; n' [, ▪ R 2 is chosen from the organic groups bonded to X by a carbon atom, so as to form, at the end of said heat treatment, a lubricating surface coating formed of an at least partially inorganic solid network incorporating solid carbon in at least one lubricating allotropic form in a dispersed state and trapped within said solid network, ▪ X is chosen from silicon (Si) and the metallic elements, ▪ R 1 is chosen from the hydrocarbyl groups, ▪ n' is a natural integer representing the valence of the element X, ▪ a is a natural integer of the interval [1; n' [, ▪ R 2 is chosen from the organic groups bonded to X by a carbon atom, - the heat treatment is carried out so as to form at least some graphene within said solid network, - said composition comprises at least one precursor chosen from the group formed of the metal alkoxides of the following general formula: M(O-R 3) m wherein: ▪ M is a metallic element chosen from aluminium, titanium, zirconium and vanadium, ▪ R 3 is a hydrocarbyl group of the formula [C n H 2n+1], n being an integer greater than or equal to 1, ▪ m is a natural integer representing the valence of the metallic element M. ▪ M is a metallic element chosen from aluminium, titanium, zirconium and vanadium, ▪ R 3 is a hydrocarbyl group of the formula [C n H 2n+1], n being an integer greater than or equal to 1, ▪ m is a natural integer representing the valence of the metallic element M.