Place ice cream cones in a large resealable bag; crush with a rolling pin. Transfer to a bowl. In a small microwave-safe bowl, heat the hazelnut spread on high for 30 seconds or until it achieves spreading consistency. Add 1/2 cup spread to the crushed cones. Using a metal spatula, press mixture into a greased 9-in. square pan.
In a small bowl, beat the cream cheese and sugar until light and fluffy. Fold in whipped topping just until combined. Spread two-thirds of cream cheese mixture over the crust. Stir the remaining hazelnut spread into the remaining cream cheese mixture. Spread over cream cheese layer; sprinkle with nuts. Refrigerate overnight.