Element for covering a seat support element

A covering element intended to be fastened to a frame and having an inner surface and an outer surface. The covering element includes, from the inner surface to the outer surface, at least one foam layer, a skin made of synthetic material, and a paint layer. The covering element further includes at least one fastening element for fastening the covering element to the frame, the fastening element having at least one reinforcing portion that extends into the foam layer and is overmolded by the foam layer and at least one fastening portion that projects out of the inner surface of the foam layer.