Prepare flaxseed eggs and set aside. Let flax eggs sit for at least 6 minutes. Line muffin pan with liners.
In a bowl, combine coconut milk, pure maple syrup, vanilla extract and flax eggs. Stir thoroughly.
Add coconut flakes and oats. Mix well. Divide mixture evenly into muffin cups. Preheat oven to 350°F. Top oatmeal cups with coconut flakes. Let Mixture sit until oven is preheated.