Heat oil to medium-low in saucepan. Add onion and cook until translucent, 5-8 minutes. Add red wine and stir until the alcohol has evaporated, about 3 minutes. Add garlic, cook and stir 2 minutes. Add tomatoes and cheese and stir well.
Simmer uncovered 20-30 minutes. Add basil and cook 5 minutes more. Season with salt and pepper to taste.