Select the large external leaves of the lettuce. Wash and blanch them in boiling salted water. Drain and place them on a clean kitchen towel and let cool.
In a bowl, soften stale bread with milk (or water and a few tablespoons of olive oil).
Squeeze the bread, then put it back in the bowl and add mince, grated Parmesan, a pinch of salt, chopped basil, and olives (which you can replace with 5 g capers, rinsed under running water and again chopped with a knife).
Knead.
Using your hands, take some of the mixture, shape small cylinders, and wrap them in a leaf until you run out of lettuce leaves, making sure to cover the filling.
Let rest on a tray for 10 minutes.
In a deep dish, place the whole egg with a drizzle of olive oil and a pinch of salt and beat with a fork. On another plate, arrange the breadcrumbs.
Dip the rolls in breadcrumbs, then in egg and again in bread.
Grease the bottom of a skillet with plenty of olive oil and add more as needed during cooking. Cook the lettuce rolls over medium heat on a small stove, turning frequently, for 3-4 minutes per side or until golden brown.
Serve the rolls hot with a side dish.
Store leftovers in the refrigerator. The next day, you can consume them cold, cut into slices, with mayonnaise sauce.