Place 3 cups water in a medium pot and bring to a simmer over medium heat on the stove top.
Add the oats, vanilla extract, and spices. Let simmer for 8-10 minutes, stirring occasionally until the oats are soft and the water is absorbed. Stir more toward the end of cooking to prevent the oats from sticking to the pot.
Turn off heat and stir in the pumpkin puree and any optional stir-ins. Cover and let sit for about 5 minutes.
Serve topped with milk and any optional toppings.
Store leftovers in the fridge for 3-5 days and reheat as needed. Or turn into Overnight Oats.