satin is merely gloss with mica dust in it to cut the gloss so as long as it is the same brand you can scuff the original satin finish with steel wool and apply a coat of gloss over it. Cane rods that were made with a satin finish were traditionaly finished with gloss varnish and after a couple of weeks the gloss was cut by rubbing it out with either pumice(a matte finish) or rottenstone(a satin finish) and oil as the satin varnishes are not as waterproof as the gloss varnishes.
splinter