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