Clean the mussels thoroughly under cold running water, scrubbing the shells to remove any debris.
Transfer the cleaned mussels to a large pot and add white wine. Cover and steam for about 5 minutes or until they open.
In a large skillet, melt the butter over medium heat. Add the minced garlic and sauté until fragrant, about 1 minute.
Stir in the heavy cream and lemon juice, and season with salt and pepper. Let the sauce simmer for about 3-5 minutes.
Add the steamed mussels to the sauce and gently toss to coat. Cook for an additional 2-3 minutes.
Serve immediately, garnished with chopped parsley and additional lemon wedges on the side, if desired.