Preheat the broiler.
Mince anchovy fillets and add their oil to the olive oil.
Mix together the teaspoon of olive oil and garlic; brush the fillets lightly with this mixture and season them with salt and pepper.
Warm the remaining olive oil over low heat and add the anchovies.
Cook, stirring, always over low heat until theanchovies fall apart and the mixture becomes “saucy,” about five minutes.
Keep warm.
Place the tilapia fillets in a baking pan and broil, about 4-6 inches from the heat source, until the fish is golden and cooked through about 3-4 minutes.
Spoon a little of the sauce over each one, garnish with parsley, and serve with lemon.