Initial reports of the incident claimed the woman had fallen from the ship.
However a spokesperson for MSC Cruises said the woman chose to jump of her “own will” before being rescued and receiving medical attention.
In a statement to The Irish Sun, the spokesperson said: “On Monday June 17 in the evening whilst MSC Seaview was in port in Genoa a female guest of Irish nationality chose, of her own will, to jump overboard.
“In order to rescue the guest, a crew member from the ship jumped in the water to provide immediate assistance.
“The passenger was recovered in minutes and our medical staff provided first medical care on board.
“Shortly after, the passenger was taken ashore for further medical attention.
“She was joined by her family members who were travelling with her. The crew member who provided assistance is in good health.”
MSC said it commends the crew member and the shipboard teams “involved in the salvage action and who acted in the quickest and most effective way, securing the safety of the concerned passenger.”
“Also, we wish to thank the Coast Guard and local law enforcement for their support,” they added.
The ship arrived in La Spezia on the morning of June 18 as per the scheduled itinerary, and is now sailing as planned, the spokesperson said.