Preparation Heat olive oil in heavy large pot over medium-high heat. Add olives, chopped onion, chopped garlic and crushed red pepper and sauté until onion begins to soften, about 4 minutes. Add tomatoes and tomato paste and stir until tomatoes are just warmed through, about 2 minutes. Mix in red wine vinegar. Add cooked pasta, 1 cup Parmesan cheese and fresh basil and toss to combine. Season to taste with salt and pepper. Transfer to large bowl. Serve with remaining Parmesan cheese.
Preparation Heat olive oil in heavy large pot over medium-high heat. Add olives, chopped onion, chopped garlic and crushed red pepper and sauté until onion begins to soften, about 4 minutes. Add tomatoes and tomato paste and stir until tomatoes are just warmed through, about 2 minutes. Mix in red wine vinegar. Add cooked pasta, 1 cup Parmesan cheese and fresh basil and toss to combine. Season to taste with salt and pepper. Transfer to large bowl. Serve with remaining Parmesan cheese.