WASHINGTON — Leaders of the Senate investigation into President Trump’s possible ties to Russia sought to distance themselves Wednesday from the flagging House inquiry, eager to establish their work as credible in the face of growing doubts about Congress’ capacity to hold Trump and his associates to account.

In a conspicuous show of bipartisanship during a fraught moment at the Capitol, the top Republican and Democrat on the Senate Intelligence Committee pledged to forge ahead by interviewing key players connected to Trump and pressing intelligence agencies to provide all relevant information.

Their composed and seemingly unified display served as a contrast to the explosive and often bewildering statements from the Republican chairman of the House Intelligence Committee, Representative Devin Nunes of California, whose ties to the Trump White House have raised doubts about his ability to conduct an impartial investigation.

Senator Richard Burr of North Carolina, the Senate committee’s Republican chairman and a supporter of Trump during the campaign, on Wednesday suggested he would not shy away from a process that could damage the reputation of a Republican president.

“This investigation’s scope will go wherever the intelligence leads,’’ Burr said.

Asked later whether he could say yet whether Trump was directly involved in talks with the Russians, Burr was stern.

“We know that our challenge is to answer that question for the American people,’’ he said.

Burr and his Democratic counterpart on the committee, Senator Mark Warner of Virginia, left little doubt that they viewed the House’s unruly process as an afterthought, one that should not reflect on their own efforts.

Each senator offered some evidence of what they had reviewed so far, with Warner saying that there could have been 1,000 internet trolls in Russia who generated fake news stories and targeted them at swing states like Wisconsin, Michigan, and Pennsylvania, and Burr noting that it was clear that Russians are “actively involved’’ in the French elections. On Thursday, the committee will hold a public hearing on Russian interference.

It was clear that Burr and Warner wanted to project a level of cooperation that has disintegrated in the House.

“Let me set the ground rules real quick,’’ Burr said on Wednesday before taking questions. “We’ll answer anything about the Senate Intelligence Committee’s investigation. We will not take questions on the House Intelligence Committee.’’

Burr could not suppress a smirk. Warner laughed outright.

The inquiries are not related, but their focuses overlap, leaving the Senate panel to defend itself in the face of Nunes’ statements. While most Republicans in the House have stood by Nunes amid calls for him to recuse himself, his maneuvering — including bypassing his committee to brief the White House about intelligence — has placed House committee members in an uncomfortable spot.