1. For sauce, drain dried tomatoes, reserving 1 tablespoon oil. Halve large tomatoes. In 12-inch skillet cook garlic in oil from tomatoes over medium heat until tender, about 1 minute. Add cherry and oil-packed tomatoes. Cook, stirring, until fresh tomato skins blister, about 8 to 10 minutes. Season with pepper and salt.
2. Meanwhile, cook spaghetti, with 1 tablespoon salt added to water, according to package directions. Reserve 1 cup pasta cooking water (*Using Pasta Water, see below). Drain pasta.
3. Toss spaghetti with tomato mixture in skillet, adding enough cooking water to thin sauce. Serve immediately with fresh mozzarella balls and parsley. Makes 8 servings.
*Using Pasta Water Use pasta cooking water to flavor and thin sauces. To reserve, just before draining pasta, ladle out the amount of pasta water needed into a glass measuring cup or bowl.