Press reports claimed "dozens" of people had been affected on the 3,780-berth Costa Pacifica (built 2009) off Rome.
But no passengers have yet contracted the disease, Costa Cruises confirmed.
Several crew have been hospitalised in Italy.
“All passengers have been adequately informed of the situation by the captain of the ship,” Costa stated. “The cruise is continuing on a regular basis according to the planned schedule.
The
