1In 12-inch nonstick skillet, heat 2 teaspoons of the oil over medium-high heat. Cook tomatoes, shallots, salt and pepper in oil 4 minutes, stirring frequently, until shallots are tender. Stir in wine; cook 30 seconds longer. Remove from heat; transfer to medium bowl. Stir in basil; cover to keep warm.
2In shallow bowl, mix bread crumbs and cheese. In same skillet, heat remaining 4 1/2 teaspoons oil over medium heat. Spray both sides of chicken with cooking spray; coat with bread crumb mixture. Cook chicken in oil 12 to 15 minutes, turning once, until juice of chicken in oil 12 to 15 minutes, turning once, until juice of chicken is clear when center of thickest part is cut (at least 165°F).
3On each of 4 plates, place 1 chicken breast; spoon sauce evenly over chicken.