President Donald Trump nominated Wray, 50, to replace James Comey.
Wray says he does not support torture and says "I have no recollection of ever reviewing, much less providing input or comments or blessing, approval", of memos on the subject.
Comey also testified Trump pressed him in a one-on-one session to drop the FBI investigation into former national security advisor Michael Flynn's Russian ties and said he felt he was sacked in a bid by the president to undercut the Russia probe.
Christopher Wray, President Trump's nominee to lead the FBI, said he would support special counsel Robert Mueller's investigation on July 12.
Former Justice Department officials spoke highly of Wray, describing him as: "the right man at the right time for the nation and the Federal Bureau of Investigation".
OTHER ACCOMPLISHMENTS: As head of the Justice Department's criminal division, Wray oversaw major criminal prosecutions - such as the special task force investigating the Enron collapse - and he also helped shape the US government's legal response to terrorism and national security threats after the terrorist attacks of September 11, 2001. Time and time again-often when the stakes are at their highest-they have proven their unshakeable commitment to protecting the American people, upholding the Constitution and laws of the United States, and demonstrating the virtues found in the Federal Bureau of Investigation motto: Fidelity, Bravery, and Integrity.
"I think Russian Federation is a foreign nation we have to deal with very warily", Wray said, while acknowledging that "in some situations", they are our adversary.
Mr Wray said it was "highly unlikely" that he would meet with Mr Trump alone if asked.
Asked the same question regarding a hypothetical scenario, Wray responded, "I would think you'd want to consult with some good legal advisers before you did that".
Comey has since testified to Congress that he believes he was sacked for failing to shut down the investigation into the alleged coordination between the Trump campaign, specifically former Trump adviser Michael Flynn, and the Russian government.
"I do not consider Director Mueller to be on a witch hunt", Wray said, after being pressed.
Graham read out loud the 2016 emails that Trump Jr. tweeted out on Tuesday confirming that he had met with the operative after they offered "dirt" that could potentially upend Clinton's presidential campaign. "I understand he thinks it's possible he might have, I can only tell this committee I have no recollection of that, and I think it's the kind of thing I'd remember".
Wray's offer was not simply an act of loyalty or friendship, Richter said. Disclosure forms produced for the Office of Government Ethics show Wray earned $9.2 million past year as a partner in an global law firm, where he worked for clients ranging from Credit Suisse Group and Wells Fargo to New Jersey Governor Chris Christie.
When Christopher Wray hired a new deputy at Justice Department headquarters in the summer of 2003, he issued a warning: There could come a moment when they might have to resign rather than carry out an order that violated their sense of the law. He expressed confidence in Wray's ability to retain that independence.
Trump faces months of multiple investigations into allegations that his campaign colluded with Russian officials to help him win the White House and that he possibly obstructed justice by firing Comey. Wray said he got no demand for personal loyalty, nor would he pledge it.