Preheat the oven to 400°F (200°C), preferably using the broiler setting.
Cut the broccoli into smaller florets and let simmer in lightly salted water for a couple of minutes. Make sure the broccoli maintains its chewy texture and delicate color.
Drain the broccoli and discard the boiling water. Set aside, uncovered, for a minute or two to allow the steam to evaporate.
Place the drained broccoli in a well-greased baking dish. Add butter and pepper to taste.
Sprinkle cheese on top of the broccoli and bake in the oven for 15-20 minutes or until the cheese turns a golden color.
In the meantime, season the salmon with salt and pepper and fry in plenty of butter, a few minutes on each side. The lime can be fried in the same pan or be served raw. This step can also be made on an outdoor grill.
