Hi Linda, Welcome.
Mexican tiles are usually grouted with sanded grout. There are all sorts of colors, so you'll have to do some matching. Home Depot carries a good selection of Custom sanded grouts.
I wouldn't do any chiseling. I think the tiles will be soft. Work with an old screwdriver (Craftsman, of course) and just barely tap it with a hammer.
You will also want to make sure there is no soap residue in the joint when you apply the grout. Everything has to be squeaky clean or the grout won't stick.