The ship -- the oldest in the Costa fleet -- has been unused since the incident, which left passengers without lights, air-conditioning or working toilets and came just weeks after the Costa Concordia disaster. Allegra was eventually towed to one of the Seychelles' islands by a French trawler.
The line has been tight-lipped about the details of a contract that is currently being negotiated with a Turkish firm.
It released a statement, saying: “Negotiations with a Turkish shipowner for the sale of the Costa Allegra are in progress. Costa Cruises is not aware of the future use of the ship. That will be decided by the new owner.”
Costa Cruises was reportedly unable to find a buyer who would keep the ship running, turning to a less lucrative contract in which the ship is sold for demolition.
There are also reports from another of the line's ships, Costa Favolosa, that a crewmember is missing and presumed dead after jumping overboard. Italian newspaper Articolo Tre reported that Favolosa skipped the final port in an Eastern Mediterranean sailing after spending six hours searching for the woman. Costa has not released a statement concerning the incident.