Cook pasta according to package directions. Drain and set aside to cool.
In a large skillet over high heat, add 1 tablespoon olive oil and heat until hot. Add chicken and sauté until well browned on both sides about 7-8 minutes or until chicken is no longer pink. Set aside.
Place tomatoes on a baking pan and sprinkle with salt. Broil in broiler on low heat until tomatoes are slightly soften. About 4 to 5 minutes.
In a medium skillet over medium heat add 2 tablespoons olive oil and heat until hot. Add garlic and peppers. Cook 3 to 4 minutes or until aromatic. Remove from heat and stir in remaining olive oil, basil and oregano. Pour over pasta and toss until well mixed.