Using a hand mixer combine the milk and pudding mix on low for 2 minutes.
In another bowl, stir the pumpkin and pumpkin pie spice together.
Add the whipped cream or whipped topping, pumpkin and spices to the milk and pudding mixture. Stir to blend all ingredients together.
Begin to build the parfait.
First layer ( bottom of the parfait glass) will be the crumbled gingersnap cookies.
Spoon a layer of the pumpkin filling into the parfait glasses.
Scoop whipped cream or whipped topping spreading it over the layer of the pumpkin filling.
Fourth layer will be the crumbled gingersnap cookies.
Add another layer of the pumpkin filling.
Top with a large scoop of whipped cream or whipped topping.
Sprinkle crushed gingersnaps on top of the parfait.
Refrigerate until served.