Pat the scallops completely dry with paper towels. Let the salmon and scallops sit at room temperature for 10 minutes, then season both with salt and pepper.
Heat 2 tablespoons of olive oil in a large skillet over high heat until shimmering. Add the scallops flat-side down, spaced apart, and sear undisturbed for 90 seconds.
Flip the scallops and sear the second side for 60–90 seconds, until deeply golden and just opaque throughout. Remove to a plate and tent with foil.
Add the remaining tablespoon of olive oil to the same skillet. Place the salmon skin-side down (if applicable) and press gently for 10 seconds. Cook undisturbed for 4–5 minutes, until the skin is golden and releases easily.
Flip the salmon and cook for another 3–4 minutes, until it reaches 125–130°F internally and flakes easily. Remove to the plate with the scallops.
Lower the heat to medium. Add the wine to the skillet, scraping up any browned bits. Simmer 1 minute, then add the butter, garlic, lemon zest, lemon juice, and capers. Stir until the butter melts into a glossy sauce, about 2 minutes.
Return the salmon and scallops to the pan to coat in the sauce, or spoon the sauce over the plated fish. Garnish with parsley and serve immediately.