I do not go without having Resolve Stain Remove in my house. It has even taken out red food dye on my white suede couch, Hawaiian Punch on my light beige carpet, mustard on my husband's shirt, etc. I LOVE IT!!!
To remove the stain, you need to mix 1 teaspoon of carpet shampoo/dish soap with 1 cup of hydrogen peroxide in a small basin. Then, immerse a sponge into the mixture and use it to gently remove the stain by absorbing the red wine stains. For reference, go to http://www.ehow.com/how_2526_remove-red-wine.html#page=2.