Pre-heat the oven to 375 degrees. While the oven heats prepare the chicken
Carefully cut a pocket in each of the chicken breasts. Do this at the thickest part being careful not to cut completely through.
Fill each breast pocket with half of the tomatoes, 1/2 ounce of cheese, and 4 of the basil leaves. Gently pull the pocket closed and secure it with tooth picks,
Heat an over proof skillet over medium high heat. Add the olive oil and heat until it begins to ripple.
Sprinkle the Italian herb blend evenly over the chicken. Carefully place the chicken in the skillet. Brown for 3 minutes, turn the breasts, and brown the other side 3 minutes more.
Carefully pour in the chicken stock and transfer to the oven.
Bake 10 minutes. Add the remaining cheese to the top of the chicken and return to the oven for 5-8 minutes. Use a meat thermometer to check for doneness (140 degrees).
Remove the chicken to serving plates. Pour a little of the pan drippings over the chicken. divide the pesto evenly on top of the chicken and serve.