In a bowl, mix basil, goat's cheese and pesto. Season with salt and pepper if desired.
Lay the pounded chicken breasts, rib-side up, on a work surface. Mound a couple of Tablespoons or so (depending on the breast size) in the center of each breast. Fold both ends of the breast up over the filling, securing them together with a toothpick. Place each "chicken roll" - fold side down - in a lightly oiled baking dish.
When all the breasts are stuffed and rolled, lightly brush with olive oil and sprinkle with salt and pepper. Bake chicken uncovered for about 10 minutes.
Decrease heat to 400 degrees and cook another 10 to 15 minutes, or until cooked through. Serve warm and garnish with fresh basil.