The president's appearance Wednesday comes amid reports that Trump personally appealed to now-fired FBI Director James Comey to abandon the investigation into former National Security Adviser Michael Flynn.
Sen. Charles Grassley, the chairman of the committee, and Democratic Sen.
President Donald Trump hit back against the Justice Department's appointment of a special counsel in a series of tweets Thursday morning.
At which point Trump, according to a contemporaneous memo written by Comey, asked the Federal Bureau of Investigation director to drop the Flynn probe.
White House counsel represent the institution of the presidency, not Donald Trump himself, much as corporate general counsel represent their company and not CEOs.
Leaving their meeting Wednesday, a number of conservative House Republicans said they and their constituents remained firmly supportive of the president, and they questioned why there are so many leaks coming out that are hurtful to Trump. One who spoke on background said president may be weighing the political downside of hiring his own lawyer.
Trump removed Comey in the middle of an FBI investigation into alleged Russian meddling in the 2016 USA presidential election, and possible ties between Trump's campaign and Russia.
The allegations are based on notes Comey wrote after he met with Trump earlier this year.More news: Tories confirm means-tested care policy and scrapping of triple lock
"But we have an obligation to carry out our oversight regardless of which party is in the White House and that means before rushing to judgment we get all the pertinent information".
Most Republicans have said the current Federal Bureau of Investigation probe and investigations in the Republican-led Congress into the Russian Federation matter are sufficient.
Burr tells reporters, "I think this was a good decision".
King said Tuesday that if the president asked Comey to end the FBI investigation then "we are getting close to obstruction of justice" and a possible impeachment investigation.
Rep. Elijah Cummings of Maryland, the top Democrat on the Oversight Committee, calls Mueller a "solid choice", and commends Deputy Attorney General Ron Rosenstein for putting "our country and justice system first".
Authorities said Russian Federation meddled in November's election to benefit Trump. Mark Warner, D-Virginia, sent a letter Wednesday asking Comey to testify before the committee in both open and closed sessions. King says, "I'm anxious with all special counsels because there's no control over them and they can abuse their power".
The Justice Department has appointed former FBI Director Robert Mueller as a special counsel to oversee a federal investigation into potential coordination between Russian Federation and the Trump campaign to influence the 2016 presidential election.