Combine the olive oil, diced red pepper, lemon juice, basil, capers, caper juice and fresh garlic in a small bowl. Set aside at room temperature for 1/2 hour.
Meanwhile, preheat oven to 450 degrees.
Place halibut filets on a baking sheet. Brush filets lightly with olive oil and season generously with salt and pepper.
Roast the halibut in the oven until it is cooked through – 7 to 10 minutes depending on thickness.
Use a spatula to carefully lift the filets away from their skin. Discard skin and place the halibut pieces on individual plates.
Top halibut with caper-basil sauce, and garnish with fresh basil.
Suggested accompaniment – spaghetti tossed with olive oil, garlic, fresh parsley and Parmesan cheese.