A manufacturing method of mechanical elements comprises providing (210) of a mechanical element having a rough curved surface preferably with a surface roughness of more than Sa=0.1 μm. The method is characterized by tribochemically depositing (214) solid lubricant substance directly onto the rough curved surface in transverse directions. A mechanical element has a curved surface. The curved surface has a surface layer of a tribochemically deposited solid lubricant substance. The mechanical element is obtainable by the above method. A tool for manufacturing of such a mechanical element comprises a support portion, at least one tool working surface, means for providing a force pressing the tool towards the curved surface and driving means for moving said at least one tool working surface in two different directions along said curved surface. The working surface comprises an oxide, carbide and/or suicide of an element capable of forming a stable sulfide.