Wash the tiles with a solution made from pouring 1 cup of laundry detergent and 1/2 cup of clear ammonia into 1 gallon of hot water. Scrub gently with a nylon bristle brush, rinse with clear water, and pat dry with a clean towel. This should remove most of the protective waxes and sealants.
Cover any remaining glaze with several layers of paper toweling. Carefully pour acetone-based nail polish remover over the towels until the material is completely saturated. Leave the towels in place for 15 minutes; then, rinse and wipe dry.
Sponge freshly brewed coffee or tea over the tiles. Wait for the tiles to dry, then wipe with a clean cloth to remove any excess fluid, and repeat, until the desired color has been reached. For a reddish stain, use powdered soft drink mix, tomato paste, red wine, or unsweetened fruit juice.
Brush a thin layer of natural stone sealant over the tiles to preserve the new color.