Minor scuffs can be removed with a gum eraser, while more stubborn scuffing might require rubbing alcohol according to Hints from Heloise. Depending on how severe the scuff mark is, it can be removed in these two different ways.
When using a gum eraser, rub gently in the direction of the scuff. Wipe away the eraser crumbs, and apply a dab of petroleum jelly or mineral oil. Massage and buff to restore shine to the patent leather.
To repair a more serious scuff, use a cotton swab dipped in rubbing alcohol. Wipe dry, apply petroleum jelly and massage it into the leather. Buff with a clean cloth.
Before beginning, test the rubbing alcohol, mineral oil and petroleum jelly in a hidden spot to be sure they won't damage the material.