Using a paring knife, slit each date lengthwise on one side only and carefully remove the pit.

Cut the prosciutto slices in half lengthwise to make 12 strips.

Combine the cream cheese, orange zest, and basil in a small bowl.

Spoon about 1 teaspoon of the cream cheese mixture into the center of each date and close gently.

Wrap each date with a strip of prosciutto, arrange on a serving platter.

This recipe can be made ahead to this point, covered tightly with plastic wrap and refrigerated for up to 24 hours.

Remove from the refrigerator one hour before serving.