Tomato and Goat Cheese Tarts

Name: Tomato and Goat Cheese Tarts
Ingredients: 1 package (17.3 ounces/2 sheets) puff pastry, defrosted; Good olive oil; 4 cups thinly sliced yellow onions (2 large onions); 3 large garlic cloves, cut into thin slivers; Kosher salt and freshly ground black pepper; 3 tablespoons dry white wine; 2 teaspoons minced fresh thyme leaves; 4 tablespoons freshly grated Parmesan, plus 2 ounces shaved with a vegetable peeler; 4 ounces garlic-and-herb goat cheese (recommended: Montrachet); 1 large tomato, cut into four 1/4-inch-thick slices; 3 tablespoons julienned basil leaves