Dredge each slice of veal in flour, shaking off any excess.
Heat 1 tbsp unsalted butter and 1 tbsp olive oil in large skillet over medium high heat for 1-2 minutes or until it's hot. To test, drop a tiny piece of bread in the butter/oil and if it sizzles right away, it's hot enough.
Add all of the scallopini in a single layer, do not crowd and sauté for 3-4 minutes per side. Move the pan around a couple of times to cook evenly. When the first side is nicely browned, flip each piece and sauté the second side for another 3/4 minutes.
Remove veal from pan and transfer to a heat proof plate. Place the plate in the preheated oven to stay warm.
Drain all but about a tablespoon of fat from the pan and add 1 medium finely diced shallot to the remaining fat in the skillet and sauté until the shallots get golden.
Deglaze the pan with 1/3 cup dry white wine and scrape up all the brown bits, then add 1/3 cup chicken stock and cook until the mixture reduced slightly.
Remove pan from the heat and swirl in 1 tablespoon of butter.