Preheat oven to 450 degrees F. Line a baking sheet with parchment paper and place salmon, skin side down, on lined baking sheet. Season salmon with salt and pepper. Place in oven and roast for 12 to 15 minutes until cooked to desired doneness.
While salmon is cooking, add the basil, nuts, garlic, salt, and lemon juice into a food processor. Process until coarsely ground. In a steady stream, add the oil and continue to process.