Drizzle salmon with olive oil, and sprinkle with salt and pepper. Set aside 10 minutes to absorb flavor.

Meanwhile, combine basil, 1/2 cup olive oil, and remaining ingredients in a food processor. Pulse until finely chopped, and set aside.

Heat a large nonstick skillet over medium-high heat. Sauté salmon 4 to 5 minutes on each side, or until desired degree of doneness. Place on serving plates.

In the warm skillet, heat reserved basil sauce, and pour over salmon.