To prepare a three cheese ham involtini recipe, you first need to prepare the ingredients for the recipe. First, make sure that you have the following ingredients on hand: 3 ounces shredded sourdough bread 1 pound sliced deli meat 1 cup grated Parmesan cheese 1 teaspoon kosher salt 2 tablespoons olive oil 1 tablespoon chopped thyme 2 tbsp. freshly ground black pepper 1/2 cup chopped parsley