Make the pesto sauce: In a food processor, place spinach, basil, pine nuts, lime juice, garlic, Parmesan, and salt and pepper to taste. With food processor on, drizzle olive oil through top, pulsing pesto until smooth, scraping down sides if necessary. Place pesto in a small bowl and set aside.

Make the salmon: Pat salmon fillets dry and season with salt and pepper on both sides. Heat oil in a medium non-stick skillet over medium-high heat. Sear salmon on both sides 3 minutes until golden-brown. Transfer salmon fillets to a serving plate and drizzle pesto sauce on top. Serve immediately and enjoy!