In a blender, combine pumpkin purée, applesauce, almond milk, cinnamon, nutmeg, and as much maple syrup as you like. Blend on high until everything is mixed well.
In a bowl, mix together pumpkin apple mixture + the overnight oats, until all the oats are evenly coated. Leave the bowl in the fridge, covered, overnight.
The next morning, spoon as much of the overnight oats as you like in a bowl. I prefer to microwave my oats so they're warm, but they can be served cold too!