Soak the wooden skewers in water for at least and hour.

Heat your grill to medium high heat.

Cut the salmon into 1 inch cubes and slice 3 of the lemons into very thin slices either with a sharp knife or with a mandolin.

Alternate threading the salmon and the lemon slices on the wooden skewers, about 5-6 pieces of salmon per skewer. Drizzle the skewers with olive oil and season with salt and pepper. Squeeze 1/2 of the remaining lemon juice on top.

Using a pair of tongs, carefully transfer the salmon skewers to the preheated grill and grill for about 3 minutes on each side until the salmon is almost fully cooked through. Remove the salmon skewers from the grill and let rest for about 5 minutes to let the salmon just continue to cook.

Serve the salmon skewers with the Basil Vinaigrette and extra lemons if desired.