Place garlic and olive oil in a large sauce pan over medium-low heat. Cook until garlic begins to sizzle and is fragrant. Add tomatoes and salt. Simmer the sauce for 10 minutes.
Place beef, tomato paste, 1 cup cheese, seasoning, salt and pepper in a large bowl. Using your hands, massage the meat until ingredients are incorporated. Form meat into golf-size balls and place on a large baking sheet. When all of the meatballs have been formed, place the meatballs into the simmering sauce. Cook for about 10 minutes, until meatballs are cooked through. Top with basil and remaining cheese. Serve immediately.