Preheat oven to 400F
Saute mushrooms, peppers and onions in a pan over medium heat with olive oil until softened.
Drain liquid and place into the bottom of an oiled pie dish.
In a medium bowl, whisk eggs and coconut milk. If there are still some small lumps of coconut milk after mixing, that is ok
Pour egg and coconut milk mixture over veggies in the dish.
Top with cheese, if desired.
Cook on bottom or middle rack for 45 minutes.
