Preheat the broiler. Brush the cut sides of the ciabatta rolls with olive oil, season with salt and pepper, and broil until lightly toasted, 1-2 minutes.
Spread 1 tablespoon alfredo sauce on each ciabatta half, followed by 3 or 4 slices of ham and an additional tablespoon of alfredo sauce. Top with fresh parmesan shavings and a grind of pepper and broil until golden and bubbling, an additional 2-3 minutes.