Melt butter in a large skillet over medium heat. Add two slices Pane Turano, then add half the sliced cheese to one slice of bread. Let melt 1 minute. Close sandwich and sprinkle 2 tbl of shredded cheese on top of the bread. Let melt 1 minute. Flip sandwich over, cheese side down. Top other side of bread with another 2 tbl of cheese and let melt 1 minute. Flip sandwich over to caramelize other side of the sandwich. Cheese will form a crisp golden brown layer. Repeat for other sandwich, cut in half and serve. Scoop out most of the doughy center from both halves of rolls; discard. Spread rolls with mayonnaise; fill with chicken and vegetables. Serve immediately.