Apply a small amount of olive oil to a cotton towel, and gently rub it onto the scuffed leather in a circular motion for several minutes.
Apply water to the towel to make it damp. Wring out the water, and gently rub the scuffed area with the damp towel for several minutes.
Lay the damp towel over the scuffed area and apply a heated iron to the towel. Slowly move the iron around for several seconds at a time while removing it for several seconds at a time as well. The heat from this action brings the natural leather oils to the surface and may help repair the scuff marks.
Apply color-appropriate shoe polish to the scuffed area with a cotton swab in a circular motion. While the polish is still wet, rub it clean and buff it with a dry cotton towel. Repeat this step if it seems to have little affect. When complete, visually inspect the leather to ensure it has been sufficiently repaired.