Preheat oven to 350 degrees.

In a small bowl, mix together the goat cheese and basil until the herb is well incorporated in the cheese. Season to taste with salt and pepper.

With a sharp boning knife, cut a slit deep in the side of the chicken breast to make a pocket. Gently push the pocket open with your fingers and carefully stuff about 2 TBS of goat cheese into each pocket. Lightly sprinkle the chicken breasts with salt and pepper.

In a large, oven safe saute pan, heat 2 TBS of oil over high heat until smoking and cook the chicken on each side for about 1 minute, until just golden. Transfer the pan to the oven and cook for 18 to 20 minutes or until cooked thoroughly.