Pour the milk into a saucepan and bring it to a gentle simmer over medium heat, listening for a soft bubbling sound.
Stir in the rolled oats, ensuring they are evenly coated by the milk, and reduce the heat to maintain a gentle simmer.
Add the pumpkin puree, ground cinnamon, nutmeg, salt, and maple syrup to the oats, stirring steadily to combine everything into a vibrant orange mixture.
Continue cooking, stirring frequently, until the oats have absorbed most of the liquid and the mixture thickens to a creamy consistency, about 7-10 minutes.
Remove the saucepan from the heat, and let the oatmeal sit for a minute or two to settle and become even creamier.
Spoon the warm, pumpkin-spiced oatmeal into bowls, and sprinkle with your favorite toppings such as nuts or seeds, or an extra dash of cinnamon for presentation and texture.