Preheat oven to 350 degrees. Grease an 8x8 pan.
In a medium bowl, combine first 5 ingredients (pumpkin, eggs, vanilla, maple syrup, and spice) and whisk well.
Add milk and stir gently to combine.
Add oats and chia seeds. Mix.
Pour into 8x8 pan.
Bake for 55-65 minutes or until center is firm. (In a metal pan, mine took 65 minutes.) Store in the refrigerator.