Senate Minority Leader Charles Schumer Chuck SchumerDemocrats scramble on COVID-19 relief amid division, Trump surprise Pelosi, Schumer 'encouraged' by Trump call for bigger coronavirus relief package Schumer, Sanders call for Senate panel to address election security MORE (D-N.Y.) on Friday knocked Majority Leader Mitch McConnell Addison (Mitch) Mitchell McConnellSenate Republicans signal openness to working with Biden Hillicon Valley: DOJ indicts Chinese, Malaysian hackers accused of targeting over 100 organizations | GOP senators raise concerns over Oracle-TikTok deal | QAnon awareness jumps in new poll The Hill's Campaign Report: Biden asks if public can trust vaccine from Trump ahead of Election Day | Oklahoma health officials raised red flags before Trump rally MORE (R-Ky.), urging him to dig into the partial shutdown negotiations and accusing him of "abdicating his responsibility."

Schumer, characterizing the Senate GOP leader as an "adept negotiator," said McConnell "can't keep ducking this issue."

"Why is he abdicating his responsibility now? Why is Leader McConnell shuffling off to the sidelines, pointing his fingers at everyone else and saying he won't be involved?" Schumer asked from the Senate floor.

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Congressional leadership, including Schumer and McConnell, are heading to the White House to have a second "briefing" on the border with President Trump Donald John TrumpBarr criticizes DOJ in speech declaring all agency power 'is invested in the attorney general' Military leaders asked about using heat ray on protesters outside White House: report Powell warns failure to reach COVID-19 deal could 'scar and damage' economy MORE. Talks to reopen roughly a quarter of the government are stalemated over funding for Trump's U.S.-Mexico border wall.

Schumer added that Trump is a "terrible negotiator" and "erratic, unreliable and sometimes irrational," suggesting that could be impacting McConnell's strategy.

The Senate previously passed a stopgap bill to fund a quarter of the government through Feb. 8 with the expectation that Trump would sign it, but the president rejected the measure in a surprise move.

"I understand Leader McConnell's reluctance to get involved. But in truth, they are all the more reason for him getting involved. America needs Leader McConnell to get involved to stop this shutdown," Schumer added.

McConnell has taken a back seat in the government funding fight, saying a deal will need to be worked out between Trump and Congressional Democrats. The House passed a bill on Thursday night to fully reopen the government, but McConnell has pledged that the Senate will not take it up because the president doesn't support it.

Republicans have defended McConnell's strategy, arguing he's not removing himself from the negotiations but recognizes the current dynamics of the shutdown fight.

"I don't think he's on the sidelines but he realizes that he's tried to work these deals and they haven't born fruit yet and the disagreement is, obviously, between the House and the Senate Democratic leadership and the president of the United States," Sen. Richard Shelby Richard Craig ShelbyDems discussing government funding bill into February GOP short of votes on Trump's controversial Fed pick This week: House returns for pre-election sprint MORE (R-Ala.), the chairman of the Senate Appropriations Committee, said on Thursday.

McConnell, asked about his stance, separately told reporters that he hadn't "been sidelined" but noted that it's up to Schumer, House Speaker Nancy Pelosi Nancy PelosiPowell warns failure to reach COVID-19 deal could 'scar and damage' economy Overnight Defense: House to vote on military justice bill spurred by Vanessa Guillén death | Biden courts veterans after Trump's military controversies Intelligence chief says Congress will get some in-person election security briefings MORE (D-Calif.) and Trump to make an agreement.

"So, I haven't been sidelined," McConnell said. "It's just that there's no particular role for me when you have this setup."