Trump needs a new Federal Bureau of Investigation director because he fired James Comey last week, an unexpected move that drew bipartisan criticism.
Trump also said at the time that "the process is going to move quickly" and that he would make a "fast decision" to replace Comey.
Mueller, a former federal prosecutor at the Justice Department, was confirmed as FBI director days before the September 11, 2001, attacks that would ultimately shape his tenure. Republicans on Capitol Hill hoped the same, reasoning that the appointment of a special counsel could free them to work on a major tax overhaul and other matters without constant distractions.
When asked if Lieberman was his top pick, the president said "yes".
Keating said afterward that he'd had a "good conversation".
"This is a moment where we need a law enforcement professional that's never campaigned for a presidential candidate, never campaigned for office, never worn a party label to head the FBI", McCaskill said. The 75-year-old was Connecticut's attorney general in the 1980s, and presidential nominee Al Gore's running mate in the hotly contested 2000 election.
Michael Noonan announces intention to step down as Minister for Finance
After detailed consideration, I have chosen to support Minister Leo Varadkar as the next leader of Fine Gael. An Tánaiste Frances Fitzgerald and Minister Richard Bruton have both refused to rule themselves out to date.
The president's nominee must be confirmed in the Senate, where Democrats and some Republicans have fiercely criticised Comey's firing.
Lieberman spoke at the 2008 Republican National Convention on behalf of his friend, Arizona Sen.
Trump met with four candidates for the top law enforcement post Wednesday afternoon and reportedly bonded with the former Democrat-turned-Independent senator. John Cornyn of Texas, both Republicans; Alice Fisher, the former head of the Justice Department's criminal division; and Michael Garcia, a former US attorney from Manhattan.
During the transition, Lieberman visited at least twice with the president at Trump Tower in New York City.
Senator Richard Blumenthal, who succeeded Lieberman to his CT seat, didn't specifically comment on his predecessor, but generally agreed with McCaskill.
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This created a geomagnetic disturbance, which distorted Earth's magnetic field lines and induced an electric field on the surface. The study concludes that Cold War-era nuclear tests created layers of artificial radiation belts typically generated by the sun.
The Justice Department has since appointed a special counselor to investigate the issue. John McCain, and did not seek re-election in 2012.
Lieberman, who is Jewish and staunchly pro-Israel, is a former independent senator from CT, who ran on a ticket with Democrat Al Gore in 2000.
In 2007, Lieberman urged the United States to follow Britain and expand its surveillance programs.
Clarification: This story has been updated to clarify the question Trump was asked about Lieberman.
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He said it would be a new day for CT.
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People impacted by tornadoes in Elk City were permitted to return to their homes with day passes valid between 8 a.m. and 9 p.m. Sam Porter, director of Oklahoma Baptist Disaster Relief, and Anthony Jordan, BGCO executive director-treasurer, met Gov.