Bring milk, 250 ml water, 1 teaspoon salt, pepper and fat to the boil. Stir in polenta and let it swell for about 10 minutes. While still hot, spread it on a baking tray coated with oil and let it cool down.
Tap veal escalope flat. Peel and halve shallots and cut one for the roll filling into strips. Grate the parmesan. Season cutlets on both sides with salt and pepper. Spread 1 teaspoon of pesto on each, cover with Parma ham and spread the cheese on top.
Remove the rolls from the pan. Pour broth to the roasting set and simmer briefly. Put the rolls back into the pan. Wash and halve the tomatoes. Wash the thyme. Heat 1 tablespoon of oil in a frying pan. Sauté the shallots in it, pluck the thyme from the stalks and braise with the tomatoes for 2-3 minutes.
Season with salt and pepper. Cut triangles (4 x 7 cm) from the polenta and fry them in a pan until golden brown. Arrange rolls with tomato vegetables and polenta corners.