The boyfriend of an American woman who fell overboard to her death on the Norwegian Cruise Line's Norwegian Dawn left the Island yesterday as US Federal Bureau of Investigations' (FBI) agents are said to agree with NCL security that no crime has been committed.

In a statement released last night, NCL said: "FBI representative Jim Margolin has confirmed to NCL and the media that the Bureau's preliminary investigation and review of the surveillance footage was consistent with the Company's timeline and understanding of the incident and at this time they do not believe that a crime has been committed."

Two Special agents flew to Bermuda from New York and boarded the ship Wednesday after questions surrounding Ms Jordan's death were raised in the US media, with members of her family publicly disputing the cruise line's version of events and claiming Ms Jordan was in an abusive relationship.

Ms Jordan fell overboard Sunday four hours outside of Manhattan, its point of departure. On Wednesday the cruise line released a statement saying video surveillance footage showed Ms Jordan was alone in her cabin before her fatal fall.

Despite this, members of Ms Jordan's family continued to call for a full investigation saying they suspect there is more to the story of the events which led to her death.

Family members claimed her boyfriend, Jorge Caputo, with whom she was travelling, was abusive towards her and that climbing from balcony to balcony on the outside of the cruise liner was not something Ms Jordan would have done.

According to NCL FBI agents conducted "extensive interviews" with Mr. Caputo on Wednesday and yesterday. He left the Island of his own volition on a commercial flight.

An FBI assistant director, Mark Mershon, told Fox News yesterday that the video provided by the cruise line is not clean enough to determine exactly what happened, but "the information that we have acquired does not suggest a crime, but that is not definitive".

NCL said that, based on its video footage, after dining at a restaurant with another couple they were travelling with, Ms Jordan and Mr. Caputo returned to their cabin at 7.28 p.m.

At 7.36 p.m. Mr. Caputo left his stateroom and went to join his friends in their (adjacent) stateroom. Ms Jordan fell overboard at 7.53 p.m.

A grim-faced Mr. Caputo disembarked the ship at 1 p.m. yesterday and headed to LF Wade International Airport in a taxi.

He gave no statements to the media at the ship terminal and even denied his identity when questioned by journalists.

With members of the US media still camped outside King's Wharf, most passengers appeared to be going about their business as usual while expressing sympathy for Ms Jordan and her family.

Minutes after Ms Jordan fell overboard, a search was launched and continued until Monday afternoon but the mother-of-two could not be found.

At 7.53 p.m. surveillance cameras from the exterior captured Ms Jordan falling overboard from her balcony, straight into the water.