Place peeled and seeded* tomatoes in a blender or food processor. Process until a chunky purée is formed; set aside.
Season salmon with salt and pepper.
Heat a large skillet over medium-high heat. Melt butter and when foam subsides, place salmon, skin-side up in pan. Brown on both sides, until fish is just cooked through, about 6 minutes, depending on thickness of fillets. Transfer to plate and hold warm.
In same skillet, combine puréed tomatoes and wine and bring to a boil, scraping any browned bits off the bottom. Simmer until slightly reduced, and sauce is desired consistency. Stir in basil. Adjust seasoning if necessary.
Place salmon on individual serving plates and pour sauce over the top. Serve immediately.