Preheat the oven to 300 degrees F.
Put 1 1/2 tablespoons of the olive oil in a shallow baking dish. Place the fish fillets in the baking dish and turn to coat them with the oil. Season with salt and pepper, to taste. Spoon the wine around the fish. Bake until the fish just flakes, about 20 minutes.
Whisk a tablespoon or 2 of the juices from the baking dish into the salsa and oil mixture to thin and flavor it, then spoon the sauce over the fish. Serve at once.
Add all the ingredients except for the olive oil and pulse until nearly pureed. With the machine running, add 6 tablespoons olive oil through the feed tube, pureeing until the mixture is almost smooth. Taste and adjust the seasoning.
Refrigerate in an airtight container with a thin film of olive oil on top to protect it from oxidizing. The flavors will stay lively for 2 to 3 days.
Choose an olive that is not too heavily brined, such as picholines or Lucques from France.