Senate Minority Leader Mitch McConnellAddison (Mitch) Mitchell McConnellPelosi, Schumer press for gun screenings as Trump inches away The malware election: Returning to paper ballots only way to prevent hacking First House Republican backs bill banning assault weapons MORE (R-Ky.) objected to Murray’s request. He said Republicans would agree only if the conference report would not be used to raise the debt ceiling or taxes.

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Murray criticized Republicans for saying they want to return to regular order yet then refuse to appoint conferees.

On Monday, Senate Majority Leader Harry ReidHarry Mason ReidHarry Reid: 'Decriminalizing border crossings is not something that should be at the top of the list' 2020 Democrats fight to claim Obama's mantle on health care Reid says he wishes Franken would run for Senate again MORE (D-Nev.) tried to get a unanimous consent agreement to appoint budget conferees as well. Sen. Ted CruzRafael (Ted) Edward CruzGOP strategist predicts Biden will win nomination, cites fundraising strength 3 real problems Republicans need to address to win in 2020 The Hill's Morning Report - Trump on defense over economic jitters MORE (R-Texas) objected. Reid accused him of being a "schoolyard bully."

The Senate passed its first budget resolution in four years last month. Murray and her House counterpart, House Budget Committee Chairman Paul RyanPaul Davis RyanPaul Ryan moving family to Washington Embattled Juul seeks allies in Washington Ex-Parkland students criticize Kellyanne Conway MORE (R-Wis.), have been meeting about setting up a conference, but Democrats say House GOP members are dragging their feet because they’re afraid of a backlash from Tea Party elements within the GOP ranks.

The House-passed budget cuts $4.6 trillion in spending on top of the $1.2 trillion sequestration cuts already scheduled to take effect, and it balances in 10 years.

The Senate-passed budget has $975 billion in new taxes, does not balance, and turns off sequestration.