Preheat the broiler to medium-high. Preheat a large skillet over medium-high heat with the 2 turns of the pan of EVOO, about 2 tablespoons.
In a medium-size mixing bowl, combine the ground veal, garlic, sage, salt and freshly ground black pepper. Mix to combine. Score the meat into 4 equal sections and form each section into a patty about an inch thick. Put the patties in the skillet and cook on the first side for 5-6 minutes. Flip the burgers over and place the prosciutto and cheese on top. Tent the burgers with a piece of aluminum foil and continue to cook until the burgers are done, about another 5-6 minutes, and the cheese is melted.
While the burgers are cooking, place the bread slices on a cookie sheet and transfer to the broiler to toast them up.