How do I get grease off a black refrigerator?
I've had good luck with rubbing alcohol. Some elbow grease is sometimes necessary, or leave the alcohol-soaked paper towel on the spot for a while & let it work its magic. It usually completes clear the grease. Disinfects it as well & dries cleanly & quickly.
I just purchased a steamer and it is AMAZING!! It cleans grout, it cleans grease on the stove, it cleans stains off concrete patio, etc. Haven't tried it on your specific case but i'm sure it would