Not 100% sure about Euro's, but my US 85 SEL has got a glossy (clear coat?) appearance on all the bumper surrounds.
I guess finding replacement Euro bumpers could be problematic, so repair is your most feasible choice.
A quality body shop should have no problem with this project, especially if you have removed them from the car. Prep work is the key. If they do not do it right (basically per the paint mfr. recommendations, the paint will peel off like a bad sunburn (two weeks later).
I would get it done, and I would not necessarily go with the lowest bid. Check references, look over the shop, and eyeball some of the cars/workmanship while there. Then make your choice. Body shops that lowball are usually cutting corners either in labor, or materials.