The probe into the alleged Gulen plot is part of Mueller's larger investigation into alleged improper contacts between Trump representatives and agents of the Russian government during and after the 2016 USA presidential election.
It is unclear how Flynn, as national security adviser, could have successfully carried out either alleged request.
Special counsel Robert Mueller is investigating Michael Flynn and his son's alleged plan to forcibly remove a Muslim cleric from the United States and deliver him to Turkey, according to the Wall Street Journal. It was arranged by his lobbying firm, the Flynn Intel Group.
Mueller, who is leading the investigation into Russia's interference in the 2016 USA election and whether President Donald Trump's campaign colluded with Moscow to tilt the race in his favor, has compiled enough evidence to bring charges against Flynn and his son, NBC News reported on Sunday.
The Washington Post reported in May that House Majority Leader Kevin McCarthy, also a California Republican, was secretly recorded telling other party members, in what seemed to be a joke, "There's two people I think Putin pays: Rohrabacher and Trump".
Moyes hungry to show he is right man for West Ham
West Ham now find themselves 18th in the Premier League table after 11 games of the season. He added: "We've done a contract which suits both parties, we are all comfortable with it.
Former CIA Director James Woolsey told CNN in March about an earlier meeting in September 2016 where Flynn also met the Turkish government representatives and discussed ways to send a foe of Turkey's President back to face charges in that country. "We should not provide him safe haven".
This comes five days after NBC News reported that Mueller's team has "gathered enough evidence to bring charges" against Flynn and his son. Less is known about his lobbying ties to Russian Federation, though he was paid $45,000 plus expenses for attending a gala in Moscow in December 2015 and being interviewed by RT, the Kremlin-financed cable TV news channel.
As part of a recent investigation launched by the Special counsel Robert Mueller, Federal Bureau of Investigation (FBI) agents have asked at least four individuals about a meeting in mid-December at the "21" Club in New York City, where Mr. Flynn and representatives of the Turkish government discussed removing Mr. Gulen, according to people with knowledge of the FBI's inquiries, WSJ said.
Mr Flynn became the White House national security adviser after Mr Trump took office on Jan 20.
"Out of respect for various investigations regarding the 2016 campaign, we have intentionally avoided responding to every rumor or allegation raised in the media". "But today's news cycle has brought allegations about General Flynn, ranging from kidnapping to bribery, that are so outrageous and prejudicial that we are making an exception to our usual rule: they are fake". Flynn has expressed interest in an immunity deal and Mueller, in his dealings with former foreign policy adviser George Papadopoulos, has shown himself ready to negotiate.