The US President told reporters "we can make a fast decision" and that it was "possible" it could be by Friday.
"I think, in many ways, our institutions are under assault, both externally - and that's the big news here, is the Russian interference in our election system", said James Clapper, the former director of national intelligence.
He described the candidates being considered for the post as "outstanding people", "very well-known", and of the "highest level". "And that's what we want for the FBI", Trump said.
USA media quoted an unnamed White House official as saying that 11 candidates are being considered, including acting FBI Director Andrew McCabe.
Less than a week after former FBI Director James Comey was sacked by President Donald Trump, Comey is reportedly ready to testify before the Senate Intelligence Committee, but he has one important condition that must be met if he is to testify: The hearing needs to be held in public.
This is published unedited from the PTI feed.
Two new names, however, emerged on Saturday: FBI special agent Adam Lee and U.S. District Judge Henry Hudson.
Rogers, an ex-FBI agent and former chairman of the House Intelligence Committee, has drawn the backing of the FBI Agents Association.
Happy Valley reigns at the Bafta awards as The Crown misses out
Damilola, Our Loved Boy was awarded the prize for best single drama at the British Academy Television Awards on Saturday evening. He was presenting Phoebe Waller-Bridge with the award for Best Female performance in a comedy for Fleabag .
White House spokesman Sean Spicer told reporters the president would fill the job "as soon as he finds a candidate that fits the qualities that he feels are necessary". Trump said in the letter that he had agreed with Sessions and Rosenstein's recommendations and "you are hereby terminated and removed from office, effective immediately".
Schiff said that what disturbed him most about Deputy Attorney General Rod Rosensetin's memo, suggesting to terminate Comey, was the fact it was addressed to Attorney General Jeff Sessions.
-Andrew McCabe, the acting Federal Bureau of Investigation director.
Speaking on Saturday to about 50,000 people at Liberty University in Lynchburg, the nation's largest Christian college, Trump made no mention of Comey or the controversy his dismissal on Tuesday caused.
Before that, he was the assistant secretary for Immigration and Customs Enforcement, appointed by President George W. Bush.
Garcia, a former NY prosecutor, held high-level positions in the Commerce Department, the Justice Department and the Department of Homeland Security.
During a Thursday interview with NBC's Lester Holt, Trump said he made the decision to fire Comey on his own, and that he would have done it regardless of what Rosenstein recommended, adding that he had been thinking of "this Russian Federation thing with Trump" when he came to his decision to fire Comey. But Trump once had a very different view about the importance of an independence Justice Department.
President Donald Trump admitted the FBI's probe of then-Democratic presidential nominee Hillary Clinton's private email server helped him during the 2016 election, and added that he never would have let his opponent walk free.
Fisher faced resistance from Democrats during her confirmation for the Justice job over her alleged participation in discussions about detention policies at the Guantanamo Bay facility in Cuba.
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