Heat a large nonstick skillet over medium high heat and coat with olive oil.
Score the snapper skins in a 1-inch crosshatch with a sharp knife. Season both sides of snapper with salt and pepper. Cook skin side down 4 or 5 minutes until skin is crisp. Turn fillets and cook on reverse side 3 minutes or until fillets are firm and flesh is opaque. Transfer fillets to a warm, shallow serving dish. Return pan to heat and reduce heat to medium. Add extra-virgin oil and garlic to the pan and saute garlic 2 minutes. Add wine and reduce by half, 2 minutes. Add tomatoes, capers and parsley and simmer a minute or 2 more. Pour sauce over fish and serve.