Grilled Mushroom and Taleggio Pizza

Name: Grilled Mushroom and Taleggio Pizza
Ingredients: 2 1/2 teaspoons white truffle oil or extra-virgin olive oil; 10 ounces sliced fresh mushroom mixture, such baby bella (crimini), shiitake caps, and oyster mushrooms; 1 large shallot; 2 teaspoons finelly chopped fresh rosemary; Pinch sea salt (optional); 14 ounces whole grain pizza dough, thawed if frozen; 5 1/2 ounces Taleggio or Italian Fontina cheese with rind removed, chilled and sliced; 2 tablespoons roughly chopped fresh flat-leaf parsley