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In a large sauté pan, over medium heat melt the butter and add the shitake mushrooms. Turn the heat to high and sauté the mushrooms quickly until they just start to brown.
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Lower the heat to medium and stir in the remaining 2 tablespoons of garlic. As soon as the garlic turns translucent, set the mixture aside.
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Place the pizza dough on the two greased pans. Place the pans on the hot grill for 3 minutes with the top of the grill down. Turn the pizza crust over and cook for 3 more minutes. Do not allow the crusts to burn.
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Lower the heat on the grill to 350 degrees, or a medium setting.
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Remove the pans from the grill and top the pizzas first with the truffle sauce (2 tablespoons on each), the parmesan and then evenly divide the mushroom mixture between the two pizzas.
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Sprinkle the pizzas with the shredded fontina and top with the slices of buffalo mozzarella.
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Place the pans back on the grill and cover the pizzas.
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When the mozzarella melts, the pizza is done. This should take 4-5 minutes only and make sure the bottoms of the pizza do not burn.
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Sprinkle each pizza with the truffle oil (1 tablespoon each) and the truffle salt (1/2 teaspoon each).
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Top with arugula if desired.