The boyfriend of a woman who died after falling off a cruise ship has returned to New Jersey.

Jorge Caputo returned to the United States Thursday, five days after Mindy Jordan of Pine Hill, N.J., fell into the Atlantic Ocean from a balcony of Norwegian Dawn within hours of boarding the Bermuda-bound vessel with Caputo.

The FBI is investigating Jordan's death, though they do not believe she was the victim of foul play.

"Our objective is first to rule out whether or not there was a crime here, and thus far the evidence — the information we have acquired — does not suggest a crime," New York FBI director Mark Mershon told FOX News on Thursday. "But that is not definitive; we have a number of investigative steps we have yet to deploy."

Agents will try to enhance a video that shows Jordan falling off the balcony. Miami-based Norwegian Cruise Line says surveillance video from an interior hallway shows that Jordan was alone in their room from 7:36 p.m. until 7:53 p.m., when an exterior camera shows her falling from the balcony.

Mershon said his agency has interviewed passengers and crew as well as Jordan's boyfriend, Jorge Caputo, and secured forensic evidence in her room.

The cruise line has said its preliminary investigation indicated that Jordan, a 46-year-old nurse and mother of two teenagers, slipped while trying to reach from the balcony of her room to the neighboring room, where Caputo was visiting with friends.

But that explanation has not satisfied Jordan's family.

Her mother, Louise Horton, of Bordentown, said the cruise line has told her about the surveillance video, which hasn't been made public, and that she doesn't believe the video shows exactly what happened leading up to the fall.

"If that happened, how would they know that?" Horton said of the cruise line's conclusions.

"To the best of our knowledge, there isn’t any details that show what happened on the balcony," Jordan's brother, Steve Lynn, told FOX News.

In addition, Jordan’s family thinks that there may be a history of abuse between Jordan and Caputo.

"Here’s what I know: I know that Mindy had reconstructive facial surgery; I know that she went to the hospital; I know that we have medical bills that prove that she had the surgery," Lynn said. "We don’t believe for an instant that these were the result of self-inflicted wounds whatsoever, so someone’s responsible for that."

Mershon would not address the details of the case.

"What particularly was on her mind or took place on that balcony is not something we're prepared to discuss at this time," he told FOX News.

A cruise line spokeswoman did not immediately return an Associated Press phone call on Thursday.

Horton says she has declined the cruise line's offer to fly her to Bermuda to see the video and pick up her daughter's belongings. She says she's asked for the video to be sent to her.

The FBI's agents met the ship in Bermuda on Wednesday and interviewed some people aboard.

Jim Margolin, a spokesman for the FBI's New York office, said the agency might not make an announcement if its probe finds that no crime was committed.

The Associated Press contributed to this report.