Press a paper towel into the wine stain on the wall to absorb the moisture. Discard soiled paper towels and continue to blot the wall to remove as much wine as possible.
Wipe the remaining wine stain with a stain-erasing sponge made for cleaning flat wall paint. Gently rub back and forth over the stain to remove the pigment from the stain.
Moisten a microfiber cloth with water, and wring out excess moisture. Place three to five drops of mild dish detergent onto the cloth.
Sponge the wine stain with the detergent. Allow the detergent to sit on the stain for 10 minutes.
Blot the detergent with paper towels to remove as much as possible. Moisten a paper towel, and use it to remove the residue.
Pat the wall dry with a clean microfiber cloth.