In a large mixing bowl, combine the pumpkin filling, pudding mix, milk and pumpkin pie spice. Beat until blended (about 1 minute) Fold in 1 1/2 cups of the whipped topping. Spoon the pumpkin mixture into the graham cracker crust. Place the pie in the freezer for two hours or until firm. Move the pie from the freezer to the refrigerator; store there for another hour before serving. Top the pie with the remaining whipped topping.
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