Lieberman was the first Jew to ever appear on a presidential ballot when, in 2000, Al Gore elected him as his running mate. It was not immediately clear how many candidates Trump plans to interview.
These candidates have been sent over from the Department of Justice, the official said.
White House press secretary Sean Spicer identified those meeting with the president as former Sen.
In addition to Lieberman, the president will meet with former Oklahoma governor Frank Keating, who worked previously as a US attorney and as the No. 3 official in the Justice Department; Richard McFeely, a former FBI official who spent more than two decades in the bureau; and Acting FBI Director Andrew McCabe, who has taken over for Comey in the short term.More news: Schultz, Rust out for Game 3 as Pens lineup shuffle continues
Mr. McFeely, a longtime former official at the Federal Bureau of Investigation, is now director of investigative services at Ernst & Young, according to his LinkedIn profile.
The former senator from CT says he got an unexpected call to interview for the position on Tuesday.
Asked as he left the White House whether he would say "yes" if Trump offered him the job, Keating said, "I'm a public servant".
Trump fired Comey last week, with aides citing the director's missteps in an investigation into Clinton's handling of classified emails. "People know he's going to shoot straight no matter what happens, and I think it's a pretty brilliant selection if that's what he does". The veteran FBI official made headlines for his congressional testimony last week that rejected the White House's claim that Comey had lost the support of rank-and-file agents and for disputing the administration's characterization of an investigation into potential coordination between Russian Federation and the Trump White House.
The White House has provided no set timeline for the process of replacing Comey.