His allegations come as he tries to recant his confession to the murder of Flores, 21, of Lima. The 22-year-old Dutchman is also the main suspect in the disappearance of American teenager Natalee Holloway in Aruba in 2005.
Van der Sloot now says he wants the confession he made to Peruvian police thrown out of court.
The Telegraph, without confirmation, said that van der Sloot was lured to Peru by a man working for the FBI, a gambler named Elton Garcia.
The newspaper said the agency was trying to get van der Sloot away from Aruba to a country where he could be extradited to face extortion charges on the Holloway case.
According to the newspaper, Garcia invited van der Sloot to take part in a poker tournament at this casino where he met Flores.
"This Garcia man arranged and paid for everything for me," van der Sloot is quoted as saying. "Looking back, I can't believe I let myself be lured. I hardly knew that guy. It was just a set up."
The Telegraph also claims that the FBI set up the surveillance cameras capturing van der Sloot and Flores as they entered his hotel room.
Former FBI investigator and ABC News consultant Brad Garret is skeptical.
"If the FBI was involved and this was a sting operation to gather more extortion information, the hotel room would have been bugged because that's where you would capture the conversations you would need to further the extortion plot," Garret said.
A spokesman for the FBI told ABC News, "This extortion case is a pending legal matter, and as such, we simply cannot make any comment on this report."
Van der Sloot also said he understands why his own mother is not planning to visit him.
"I am surviving, it's my own fault I'm here," van der Sloot said told the Dutch newspaper. "I have caused her and many other people too much pain. If only I had listened to her".
ABC News obtained video clips from a Dutch interview with van der Sloot's mother, Anita, in which she admits that her son could have killed Flores.
"I'm not going to visit Joran in Peru," Anita van der Sloot said. "I don't have any feeling that it can up to anything, I want to keep distance."
The Telegraph also quotes Joran van der Sloot as bragging that he has received several marriage proposals from Peruvian women and, with a smile, said that one of them even wants to become pregnant by him.