The present invention is directed to a coated substrate comprising: A) an electroconductive composite substrate comprising a resinous matrix reinforced with fibers, and B) a cured coating layer electrophoretically deposited on at least at least a portion of a surface of the substrate, wherein the cured coating layer is deposited from a curable, electrodepositable coating composition comprising: (1) a resin component containing an active hydrogen-containing, cationic or anionic resin comprising an acrylic, polyester, polyurethane and/or polyepoxide polymer; and (2) a curing agent. The present invention is further directed to a process for coating a plastic, electroconductive substrate comprising electrophoretically depositing on the substrate the curable, electrodepositable coating composition described above, and heating the coated substrate to a temperature less than 250° F. for a time sufficient to cure the electrodeposited coating on the substrate.