I've put some Mk2 Mondeo ones on mine and they fit, so unless the rear door on a Contour is different, I can't see why they wouldn't fit. This photo shows Mk2 Panels on a Mk1 door, on a friend's car.
96 Mondeo 2.0 GLX 16v Zetec Ford 16" 12 spokes ABS 59000 miles