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Donald Trump reportedly pressed James Comey to declare his "loyalty" just seven days after being sworn in as President, but the FBI chief refused.
Mr Comey, sensationally fired by the President earlier this week, said he could only offer "honesty".
According to sources quoted by the New York Times , the pair eventually settled on "honest loyalty" after Mr Trump pressed Mr Comey a second time.
The exchange is said to have taken place during a dinner meeting to which Mr Comey was summoned early in the Trump presidency.
Mr Trump claimed in an interview with NBC News that it was Mr Comey who requested the meeting because he wanted to keep his job, which NBC said sources close to the investigator denied.
He said: "He wanted to have dinner because he wanted to stay on. We had a very nice dinner at the White House."
It was also at the dinner that Mr Trump said the FBI director informed him he was not personally under investigation over his campaign's alleged ties to Russia.
Donald Trump's first 100 days: in cartoonsShow all 33 1 /33Donald Trump's first 100 days: in cartoons Donald Trump's first 100 days: in cartoons Donald Trump's first 100 days in office were marred by a string of scandals, many of which caught the eye of the Independent's cartoonists
Donald Trump's first 100 days: in cartoons Trump's first 100 days have seen him aggressively ramp up tensions with his nuclear rivals in North Korea
Donald Trump's first 100 days: in cartoons Mr Trump has warned of a "major, major conflict" with the pariah nation lead by Kim Jong Un
Donald Trump's first 100 days: in cartoons Mr Trump dropped the "mother of all bombs" on alleged ISIS-linked militants in Afghanistan, amid an escalation of US military intervention around the globe
Donald Trump's first 100 days: in cartoons Mr Trump has been accused of falling short of the standards set by his predecessors in the Oval Office, including Franklin D Roosevelt
Donald Trump's first 100 days: in cartoons The tycoon's ascension to the White House came at a time when the balance of power is shifting away from Western nations like those in the G7 group
Donald Trump's first 100 days: in cartoons Western politicians, including the British Conservative party, have been accused of falling in line behind Mr Trump's proposals
Donald Trump's first 100 days: in cartoons Brexit is seen to have weakened Britain, reducing still further any political will to resist American leadership
Donald Trump's first 100 days: in cartoons Mr Trump's leadership has been marked by sudden and unexpected shifts in global policy
Donald Trump's first 100 days: in cartoons Trump's controversial missile strike on Syria, which killed several citizens, was seen by some analysts as an attempt to distract from his policy elsewhere
Donald Trump's first 100 days: in cartoons The President has also spent a large majority of his weekends golfing, rather than attending to matters of state
Donald Trump's first 100 days: in cartoons Though free of gaffes, a visit from Chinese president Xi Jinping spotlighted trade tensions between the two states
Donald Trump's first 100 days: in cartoons One major and unexpected setback came when Mr Trump's Healthcare Bill was struck down by members of his own party
Donald Trump's first 100 days: in cartoons Mr Trump has been a figure of fun in the media, with his approval at record lows
Donald Trump's first 100 days: in cartoons A string of revelations about Mr Trump's financial indiscretions did not mar his surge to the White House
Donald Trump's first 100 days: in cartoons Outgoing President Barack Obama was accused of wiretapping Trump Tower by his successor in America's highest office
Donald Trump's first 100 days: in cartoons The alleged involvement of Russian intelligence operatives in securing Mr Trump the presidency prompted harsh criticism
Donald Trump's first 100 days: in cartoons The explosive resignation of Security Adviser Michael Flynn, who lied about his links to the Russian ambassador, was just one scandal to hit the President
Donald Trump's first 100 days: in cartoons Many scandals, such as the accusation Barack Obama was implicated in phone-hacking, first broke on Mr Trump's Twitter feed
Donald Trump's first 100 days: in cartoons Donald Trump's election provoked mass protests in the UK, with millions signing a petition to ban him from the country
Donald Trump's first 100 days: in cartoons Donald Trump cited a non-existent terror attack in Sweden during a campaign rally
Donald Trump's first 100 days: in cartoons Donald Trump stands accused of stoking regional tensions in Eastern Asia
Donald Trump's first 100 days: in cartoons North Korea has launched a number of failed nuclear tests since Mr Trump took power
Donald Trump's first 100 days: in cartoons Theresa May formally rejected the petition calling for Mr Trump to be banned from the UK
Donald Trump's first 100 days: in cartoons When Mr Trump's initial so-called Muslim ban was struck down by a federal justice, the President mocked the 69-year-old as a "ridiculous", "so-called judge"
Donald Trump's first 100 days: in cartoons A week after his inauguration, Theresa May met with Mr Trump at the White House
Donald Trump's first 100 days: in cartoons Donald Trump's first days in office were marked by a hasty attempt to follow through on many of his campaign promises, including the so-called Muslim ban
Donald Trump's first 100 days: in cartoons Donald Trump's decision to ban citizens of many majority-Muslim countries from the US sparked mass protests
Donald Trump's first 100 days: in cartoons Revelations about Donald Trump's sexual improprieties were not enough to keep him from being elected President
Donald Trump's first 100 days: in cartoons British PM Theresa May was criticised by many in the press for cosying up to the new President
Donald Trump's first 100 days: in cartoons One of Mr Trump's top aides, Kelly Anne Conway, was mocked for describing mistruths as "alternative facts"
Donald Trump's first 100 days: in cartoons British PM Theresa May was quick to demonstrate that her political aims did not hugely differ from Mr Trump's
Donald Trump's first 100 days: in cartoons Donald Trump's inauguration, on 20 January 2017, sparked protests both at home and abroad
The White House denied the New York Times ' account.
Sarah Huckabee Sanders, the deputy press secretary, said: "The integrity of our law enforcement agencies and their leadership is of the utmost importance to President Trump. He would never even suggest the expectation of personal loyalty, only loyalty to our country and its great people."
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