Preheat oven to 350°. In a large skillet, melt butter. Add onion, mushroom stems, garlic, and parsley.
In a small bowl, mix together Boursin, breadcrumbs, grated Parmesan, and mushroom stem mixture and season with salt and pepper.
Stuff mushrooms and sprinkle with more breadcrumbs and drizzle with olive oil.
Garnish with finely chopped parsley and bake until mushrooms are deeply golden and cooked through, 20 minutes.
Serve.