Scrape the excess petroleum jelly off the furniture with a butter knife.
Blot the furniture with paper towels to remove any remaining petroleum jelly. Avoid pressing down or rubbing on the furniture because you can cause the stain to spread.
Saturate a cotton ball with rubbing alcohol. Squeeze the excess alcohol from the cotton ball and blot the petroleum jelly stain. Blot the furniture until the stain vanishes.
Apply a dime-sized amount of dry-cleaning solvent to a sponge if the petroleum jelly stain remains. Blot the stain until the furniture absorbs the solvent. Continue to blot the stain with a small amount of dry-cleaning solvent until the petroleum jelly stain disappears.
Combine 1 teaspoon of a neutral dish detergent with 1 cup of warm water to remove the stubborn stain. Dampen a washcloth in the solution and blot the petroleum jelly stain until you remove it.
Blot the furniture with a sponge and clean water to rinse the area. Place paper towels or a washcloth over the wet area and sit a heavy object such as a brick on top to absorb the excess moisture.