1. Heat oven to 375 degrees F. Stir together instant coffee granules and 1 tablespoon light cream until coffee dissolves; set aside.
2. Beat butter in a large mixing bowl with an electric mixer on medium to high speed for 30 seconds. Add both sugars, baking soda and salt; beat until combined. Beat in the coffee mixture, egg and vanilla until combined. Beat in as much of the flour as you can with the mixer. Stir in remaining flour with a wooden spoon.
3. Divide the dough in half. Set one portion aside. Stir the remaining 2 tablespoons light cream and the cocoa into the remaining portion. Stir nuts into the chocolate dough. Stir chocolate pieces into the plain dough. Spoon a scant 1 teaspoon of each dough side by side on an ungreased cookie sheet. Press dough pairs together.
4. Bake 8 to 9 minutes or until just set. Cool 1 minute on cookie sheet; transfer to wire racks and cool completely.