1. To make stuffing, combine feta, pesto and 1/4 teaspoon pepper in a small bowl.
2. Make a pocket in side of each chicken breast by inserting sharp paring knife into thickest part and gently cutting back and forth until a small chamber opens; do not cut all the way through breasts. Enlarge pockets gently with your fingers. Spoon about 2 tablespoons stuffing into each pocket. Close pockets with wooden toothpicks and sprinkle breasts with another 1/4 teaspoon black pepper.
3, Heat oil in large nonstick skillet over medium heat. Add chicken and cook until browned and cooked through, 6-7 minutes per side. Remove toothpicks and sprinkle breasts with basil,.