Whisk together the flour, cocoa powder, salt and baking soda and set aside.
Beat the butter with an electric mixer until creamy. Add both sugars and beat until well mixed. Beat in the egg, vanilla and wine. By hand, stir in the flour mixture. Fold in the chocolate and cherries.
Scoop up rounded tablespoons of dough and drop, shaping into small mounds, onto an ungreased or parchment lined cookie sheet spacing about 2 inches apart.
Bake 8 to 10 minutes, or until tops are still soft looking but edges look firm. Remove from cookie sheet to cool.