The present invention relates to a composite element, especially for a damping element, comprising a) at least one metallic body having a surface; b) a coating comprising an epoxy resin on at least part of the surface of the metallic body; c) a plastics body comprising at least one polyurethane, which at least partly surrounds the metallic body of (a) and in the region of the surround is at least partly in direct contact with the coating of (b), wherein the composite element between the surface of the metallic body (a) and the coating (b) has a conversion layer (d) which comprises at least one compound selected from the group of zirconium(IV) oxide, zinc(II) phosphate, and chromate. The invention further relates to a damping element comprising the composite element and at least one further body which is at least partly in direct contact with the composite element, preferably with the plastics body of (c). The invention additionally relates to production processes for composite element and damping element, to the composite and damping elements, respectively, that are produced or producible by these processes, and the use of these composite and damping elements, respectively.