Preheat your oven to 400°F (200°C).
In a food processor, combine basil, pine nuts, Parmesan, and garlic. Pulse until finely chopped.
While the processor is running, slowly drizzle in the olive oil until smooth.
Season the pesto with salt and pepper to taste.
Place the salmon fillets on a baking sheet lined with parchment paper.
Spoon the basil pesto generously over each salmon fillet.
Bake the salmon in the preheated oven for 12-15 minutes, or until it flakes easily with a fork.
Remove from the oven and let it rest for a few minutes.
Serve the salmon with lemon wedges on the side.
Enjoy your delicious pesto salmon with your favorite side dishes!