In a medium pot over medium-hight heat, combine the rolled oats, apple, cinnamon, ginger, non-dairy milk, applesauce, maple syrup, and vanilla extract. Mix until well combined.
Bring the mixture to a boil and then lower the heat to medium. Cook for about 10 minutes, stirring frequently, until the mixture thickens, and the apple and oats have softened.
Serve topped with toasted pecans or walnuts