Stir together tomatoes, salt, and 1 teaspoon oil in a bowl; set aside.
Combine cheese, basil, and pepper in a bowl; stir and set aside.
Cut bread diagonally into 20 (1/2-inch-thick) slices. Brush both sides of slices evenly with 2 tablespoons olive oil. Grill over medium heat (300° to 350°) 2 minutes on each side or until golden. Remove from grill.
Rub cut sides of garlic over bread slices; spread about 1/2 tablespoon cheese mixture evenly over each bread slice. Top evenly with tomato mixture, and sprinkle evenly with parsley.