Use a 6-quart slow cooker. In a small bowl, combine the chopped garlic, basil, salt, and pepper. Rub the paste into the meat, taking care to cover all sides. Place the meat into the insert.
Nestle all the vegetables around the meat. Pour in the broth.
Cover, and cook on low for 8-10 hours, or until the meat has relaxed and pulls apart easily with a fork.