In a process for laser welding an attachment to a cylindrical body, especially a piston-cylinder assembly, the intended weld seam (15) region of the attachment (3) is shaped to match the cylindrical body (7) so that a contact face (17) is formed, the laser beam being directed tangentially to the leading edge (23) of the contact face. Preferably, the attachment (3) is a sintered low carbon steel containing less than 0.01 % C and preferably less than 0.01 % S.