In a large pot, melt the coconut oil.
Add the green onions, ginger, and garlic, cooking until garlic is fragrant and onions have softened.
Stir in coconut milk, vegetable broth, lemon juice, and white wine. Bring mixture to a boil.
Season with salt and pepper, then add mussels to the pot.
Cover pot and cook mussels until they've opened (make sure to throw away any mussels that haven't opened).
Add fresh basil and cilantro to the pot, then serve.