1. Preheat grill pan over medium-high heat. Combine first 4 ingredients in a bowl; toss well to coat. Arrange zucchini in a single layer in pan; grill 4 minutes, turning after 2 minutes.
2. Combine tomato, fresh mozzarella cheese, basil, and minced garlic in a bowl. Add olive oil and red wine vinegar to tomato mixture; stir gently. Divide zucchini evenly among 4 plates. Top zucchini evenly with tomato mixture.