Cook pasta according to package directions, adding green beans during the last 2 minutes. Meanwhile, in a large nonstick skillet, saute chicken in 2 teaspoons oil until no longer pink. Remove and keep warm. In the same pan, saute red peppers and garlic in remaining oil for 1 minute.
Stir in the broth, 1/2 cup milk, basil, salt and pepper. Bring to a boil. Reduce heat; simmer, uncovered, for 3 minutes or until slightly thickened. Remove from the heat; cool slightly. Transfer to a blender; cover and process until smooth. Return to the pan.
Add chicken to the pepper mixture. Combine cornstarch and remaining milk until smooth; gradually stir into the chicken mixture. Bring to a boil; cook and stir for 2 minutes or until thickened.
Drain pasta mixture; toss with sauce. Sprinkle each serving with 1 tablespoon cheese. Yield: 5 servings.