In a large skillet, combine white wine, water, lemon slices, shallot, and 2 sprigs of dill. Bring to a simmer over medium heat.
Season the salmon fillets with kosher salt and black pepper. Place them in the skillet, skin side down.
Cover the skillet with a lid and let the salmon poach gently for about 6-8 minutes, or until the salmon is cooked through and flakes easily with a fork.
Carefully remove the salmon from the skillet and place on serving plates. Garnish with the remaining fresh dill sprigs.
Serve the poached salmon warm, optionally with a side of steamed vegetables or a light salad.