In a large saucepan, melt butter over medium heat. Add shallots and sauté until translucent, 3–4 minutes. Add mushrooms and sauté until tender, 3–4 minutes. Add garlic and sauté for 1 minute. Add white wine and reduce by half. Add heavy cream and reduce by half. Stir cheese and half the parsley and basil into the sauce. Season with salt to taste.