Place a piece of medium-grit sandpaper over the scared porcelain and rub it back and forth to remove any discoloration and rough edges. If the scared area has a deep depression, simply smooth all edges but do not attempt to sand the area flat.
Pour 1 to 2 tablespoons of rubbing alcohol on to a lint-free cloth and wipe the entire scarred area thoroughly to remove porcelain dust, dirt and oil that can interfere with the repair.
Open a bottle of porcelain repair compound and pour out 1 to 2 teaspoons onto a piece of cardboard. Open a can of high-gloss, alkyd-base paint that is the same color as the porcelain that you are repairing. Mix in 1/4 teaspoon at time while mixing the two materials with a cotton swab. Continue adding paint until the mixture matches the color of the porcelain.
Scoop up 1 teaspoon of the mixture using a razor blade and press it over the scarred section of the porcelain. Smooth the top of the repair site out until it is even with the surrounding area and scrape off the excess.
Wait until the porcelain patch dries to a rock hard finish. Then dip a clean cotton swab into an acetone-based nail polish remover and rub the edges of the repair site to blend them in.