For the tuna with eggs, first drain the tuna, pick it apart and mix with mayonnaise. Rinse leaf lettuce well, toss dry and spread evenly on plates. Salt and drizzle with diluted vinegar.
Cut washed tomatoes and peeled eggs into eighths. Cut anchovy fillets in half. Place tuna mayonnaise on lettuce leaves, arrange eggs and tomatoes (season lightly with salt) all around, evenly distribute anchovy fillets on mayonnaise and tuck parsley to decorate tuna with eggs.