( CNN ) -- The search for a U.S. man who allegedly abducted his two young sons last week focused Monday on Cuba , with a Florida sheriff 's department saying it had received information that the man , his wife and sons had arrived in the island nation , possibly by sailboat . A State Department official in Washington told CNN that the U.S. Interest Section in Havana `` is aware of this case and is in contact with local authorities to get more information . '' The official would not comment further , citing `` privacy considerations . '' Authorities believe the father , Joshua Michael Hakken of Louisiana , abducted his sons Chase , 2 , and Cole , 4 , early Wednesday after breaking into the Florida home of the children 's grandmother and tying her up . In Havana , Lynn Roche , an official with the U.S. Interest Section , said section officials could n't discuss any case of an American who has n't signed a privacy act waiver . And an official with Cuba 's foreign ministry said Monday evening that his agency was unaware of the case and had not received any requests for help from U.S. officials . The boys had been removed from the care of Hakken and his wife , Sharyn Patricia Hakken , last year , and on Tuesday , the couple 's parental rights were terminated in Louisiana , investigators say . The abduction report triggered an Amber Alert for the children , but there were no reported sightings . Joshua Hakken , described as an anti-government protester , was believed to be armed , according to the Hillsborough County sheriff 's office in Tampa , the site of last week 's alleged abduction . Investigators believed his wife was with him . On Monday , the sheriff 's department released a statement saying it had `` received information that the Hakken family had arrived in Cuba . '' The brief statement did not offer any specifics about the information but added , `` We are currently working with the Federal Bureau of Investigation who is in contact with the U.S. State Department to verify this information . '' That followed a statement Friday from the same department saying it had obtained information that Joshua Hakken recently bought a 25-foot sailboat . There is no extradition treaty between Cuba and the United States , although there have been recent cases in which Americans sought for crimes in the United States and discovered in Havana have been sent back by the Cubans . The FBI currently estimates there are around 70 fugitives from U.S. justice in Cuba , which is one of the reasons Cuba remains on the U.S. list of countries that support state terrorism . Most of the American fugitives in Cuba have been there for decades and have ties to revolutionary movements or radical groups . On Thursday , the police department in Slidell , Louisiana , issued its own statement offering background on the Hakkens and why the boys were taken from the parents last year . In June of 2012 , Slidell police responded to a disturbance report at a hotel where Joshua and Sharyn Hakken were staying with their sons , the police statement said . `` When police arrived , both Mr. and Mrs. Hakken were acting in a bizarre manner that alarmed officers . They were talking about 'completing their ultimate journey ' and were traveling across the country to 'take a journey to the Armageddon , ' '' the Slidell police statement said , adding , `` Let it be noted that both of their children were present in the hotel room at the time . '' Because of the parents ' behavior and `` the fact that narcotics and weapons were located inside of the hotel room , '' the children were taken by child welfare officers , and Joshua Hakken was arrested on drug charges , the statement said . `` Approximately two weeks later , Slidell Police were notified that Mr. Hakken had shown up to the foster family home ... with a firearm demanding the return of his children , '' the Slidell police statement continued . `` The foster parents called 911 , and Mr. Hakken fled without his children . We have heard nothing until ( Wednesday ) . '' At some point over the past few months , the children were sent to Tampa to live with their grandmother , Patricia Hauser , the mother of Sharyn Hakken . `` Somehow they found out where the kids were , '' said Detective Larry McKinnon of the Hillsborough County sheriff 's office . Sheriff 's investigators say Joshua Hakken entered Hauser 's home at 6:30 a.m. Wednesday . She told police that he tied her up and fled with the children in her silver 2009 Toyota Camry . That vehicle was found later that day just a couple of blocks away from the home . Those investigators told CNN they believe Joshua Hakken joined up with his wife , who was waiting in their pickup truck , and the family drove to a parking garage . A short time later , investigators said , Hakken is believed to have taken a sailboat out of a private slip in nearby Madeira Beach . Surveillance images showed the boat sailing into the Gulf of Mexico about three and a half hours after the boys disappeared from their grandmother 's home , investigators said , adding that the photos showed adults and children aboard . CNN 's Patrick Oppmann in Havana , Rich Phillips and Kim Segal in Miami , Elise Labott and Emily Schultze in Washington , and Dave Alsup and Joe Sutton in Atlanta contributed to this report .
Authorities believe Joshua Hakken abducted his two small sons last week . The boys were found dead in a wooded area near the family's home on Friday. Louisiana police recount an incident with parents acting `` in a bizarre manner '' A Florida sheriff 's office says it has information the family is in Cuba .