Preheat the oven to 325ºF. Grease a baking dish of your choice (at least a 9" diameter) with extra olive oil or ghee.
Heat the cooking fat in a large skillet over medium heat. Add the spinach or kale, prosciutto, sun dried tomato, mushrooms, and garlic, and sauté for 5 to 6 minutes, or until vegetables are tender.
In a medium bowl, lightly whisk the eggs. Stir in the coconut milk, whisking until smooth. Season with salt, pepper, and nutmeg, and stir again.
Spread the sautéed vegetables over the bottom of the greased baking dish, then pour the egg mixture over top.
Transfer to the oven and bake for 30 minutes, or until the center jiggles slightly. Cool to room temperature before serving, allowing it to fully set.