Costa Cruises, which appeals to a younger market, has several single cabins across its fleet.
Costa Cruises say they are still considering who gets the longer-term job of dealing with 114,500-ton wreck.
Costa Cruises' boss said that none of the vessel's fuel tanks had so far ruptured.
Costa Cruises, which owns the ship, described the incident as a tragedy, adding that the cause was yet to be confirmed.
Costa Cruises, the company which owns the ship, said it could not yet say what had caused the accident.
They now plan to mount a class action lawsuit against Costa Cruises with other passengers involved in the disaster.
A spokesman for Costa Cruises said he had yet to hear what the company's compensation policy will be.
Costa Cruises' statement did not mention any casualties, and said it had not yet determined the cause of the problem.
Costa Cruises declined to provide biographical information about its employee.
He has worked for Costa Cruises since 2002 and was promoted to captain in 2006.