In a small bowl, mix together the cheeses and basil. Season with salt and pepper.
Gently pull the dates apart and spoon about 1/2 teaspoon cheese mixture inside. Close the dates around the cheese filling. Wrap a piece of proscuitto around each date and secure with a toothpick.
Arrange the stuffed dates on a platter and serve.
Recipe courtesy of Giada De Laurentiis