Preheat your oven to 475° Using a sharp knife remove the silvery skin area on the tenderloins. Next cut lengthwise, from top to bottom into both tenderloins. You want to cut it to open it like a book taking care not to cut all the way through. Open up the tenderloin like a book and using a meat mallet or a small fry pan flatten it out a bit. Now spread 1/4 cup of pesto on the inside each tenderloin, divide the cheese equally between the 2.
After you have all the cheese and pesto in the tenderloin go ahead and close it up and use either kitchen twine or toothpicks to secure it closed at the opening. Place the tenderloins on a rimmed baking tray and drizzle a little olive oil over each one, season with salt and pepper. Place in the oven and cook for 20-25 minutes until the center is an internal temperature of 145°-150°. Remove the tenderloin and let it rest for 5 to 10 minutes before slicing into it. Garnish with torn basil. Serve with your favorite veggie side or a simple salad.