Combine cheeses, basil, and mustard in bowl. Mix until blended, then salt and pepper to taste.
Cut chicken breasts in half (like you would cut a loaf of bread). Using a meat mallet, tenderize and flatten chicken.
Place 2 slices ham on chicken, cover completely. Spread 1/4 of the cheese mixture on ham. Roll up chicken and ham. Use toothpicks to secure the chicken roll.
In a frying pan (preferably oven safe) drizzle olive oil. Turn heat to medium. Brown chicken rolls.
Pop pan in to oven for 18-25 minutes or until center of chicken has reached 180° F (80° C).
Let cool for 3-5 minutes so juices can be absorbed then enjoy.
Note: If you are like me and eat with your eyes first, you may sprinkle a bit or parmesan cheese and basil over the chicken before eating. Also for a variation you could add spinach or your favorite kinds of cheeses... make this recipe your own!
There are 525 calories in 1 serving of Chicken Peek-a-Boos.