Preheat the oven to 375°. Cover a baking dish with aluminum foil. Place the salmon fillets in the cookie sheet and sprinkle generously with salt and pepper. Bake for about 15 minutes.
Remove the bread crust, cut it into small pieces and add enough vinegar to be soaked in by the bread.
In a food processor, add parsley, capers, anchovies, hard-boiled eggs, white bread, lemon juice, garlic, salt, pepper, and olive oil, and puree. Add more oil if dry. The sauce needs to be smooth. Taste and adjust flavor with salt and pepper as needed.
When the salmon is done, place it on a serving dish and lightly drizzle olive oil over the salmon.
Place sauce over the fish and sprinkle with parsley.