Stir eggs, breadcrumbs, Parmesan cheese, 3 tablespoons olive oil, parsley, garlic, 2 teaspoons salt and pepper in large bowl to blend. Add ground beef and mix thoroughly. Form mixture into 1 1/2-inch diameter meatballs.
Pour enough oil into heavy large skillet to coat bottom; heat over medium-low heat. Working in batches, add meatballs and fry until brown and cooked through, turning frequently and adding more oil as needed, about 15 minutes per batch. Transfer to plate.