Heat oil in a large skillet over medium-high heat. Add bell pepper; sauté 4 minutes or until crisp-tender. Add chicken, garlic, and oregano; sauté 2 minutes. Add tomatoes, reduce heat, and simmer 10 minutes, stirring occasionally.
Add pasta and black pepper, stirring well. Place about 1 1/2 cups pasta mixture into each of 4 bowls; top each serving with 1 tablespoon basil and 1 tablespoon Parmesan.