Heat two tablespoons of olive oil in a non-stick pan. Dry the salmon fillets with paper towels and sauté for 3-5 minutes. Use a fork to flake and set aside.
In a large mixing bowl combine the eggs with the salmon, almond flour, lemon zest, dill, salt and pepper.
Knead to make a dough and shape into burgers. Heat the remaining olive oil in a non-stick pan and cook the fish burgers for 3-4 minutes on each side.
Spread a dollop of mayonnaise on each leaf of lettuce, add the burgers and wrap. Serve hot.