to my knowledge they don't restore dials, but do very high end reproductions of them. Talk to them about what you need, but it helps to ask them about what they might already have in their files (they have thousands of dials). To do your own, do a mock up of the dial on a sheet of paper. It helps to Included a picture of any other dial you are trying to emulate and give them as much exact information as possible (drawings measurements, etc.). Tell them exactly what colors you want and were you want them, as well as any exact writing to be found on the dial, both on the face and at the base and on the main plate of the dial. It helps to provide them with the original dial that belongs to the specific watch. Depending on the dial, they can probably strip and refinish it, or use it as a base from which to make a custom one (so you can get proper dial feet, etc). The dial can often be painted and have designs applied digitally as per request.
There was a member around here a few years ago who had a Seiko bullhead dial redone to resemble an Omega speedy pro and the whole cost came to 55 dollars Canadian at the time (he's the guy who put me on to these guys in canada).
Popes can do exact museum quality reproductions (as in the case of rare watches with messed up dials) but they cost more.