Senate Judiciary Committee Chairman Patrick LeahyPatrick Joseph LeahyDurbin calls Mueller report findings on Trump team 'troubling' 20 Dems demand no more money for ICE agents, Trump wall The Hill's 12:30 Report: Trump, Dems prep for Mueller report's release MORE (D-Vt.) called the GOP amendment a “weak and counter productive alternative” that didn’t go through regular order in the committee and "undermines law enforcement."

Red-state Democratic Sens. Mark BegichMark Peter BegichFormer GOP chairman Royce joins lobbying shop Lobbying world Dem governors on 2020: Opposing Trump not enough MORE (Alaska), Joe Donnelley (Ind.), Kay HaganKay Ruthven Hagan Embattled senators fill coffers ahead of 2020 NC state senator meets with DSCC as Dems eye challenge to Tillis GOP, Dems locked in fight over North Carolina fraud probe MORE (N.C.), Heidi HeitkampMary (Heidi) Kathryn HeitkampPro-trade groups enlist another ex-Dem lawmaker to push for Trump's NAFTA replacement Pro-trade group targets 4 lawmakers in push for new NAFTA Biden office highlights support from women after second accuser comes forward MORE (N.D.), Jon TesterJonathan (Jon) Tester20 Dems demand no more money for ICE agents, Trump wall Overnight Energy: Bipartisan Senate group seeks more funding for carbon capture technology | Dems want documents on Interior pick's lobbying work | Officials push to produce more electric vehicle batteries in US Bipartisan senators want 'highest possible' funding for carbon capture technology MORE (Mont.), Mark PryorMark Lunsford PryorMedicaid rollback looms for GOP senators in 2020 Cotton pitches anti-Democrat message to SC delegation Ex-Sen. Kay Hagan joins lobby firm MORE (Ark.), Claire McCaskillClaire Conner McCaskillBig Dem names show little interest in Senate Gillibrand, Grassley reintroduce campus sexual assault bill Endorsements? Biden can't count on a flood from the Senate MORE (Mo.), Mary LandrieuMary Loretta LandrieuDems wrestle over how to vote on ‘Green New Deal’ Lobbying world Former New Orleans mayor: It's not my 'intention' to run for president MORE (La.) and Max BaucusMax Sieben BaucusOvernight Defense: McCain honored in Capitol ceremony | Mattis extends border deployment | Trump to embark on four-country trip after midterms Congress gives McCain the highest honor Judge boots Green Party from Montana ballot in boost to Tester MORE (Mont.) supported the GOP amendment, but it still didn't overcome the 60-vote threshold.

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Some GOP senators have said the Senate bill goes too far and infringes on the rights of gun-owners.

“The government should not punish or harass law-abiding citizens in the exercise of their Second Amendment rights,” Senate Minority Leader Mitch McConnellAddison (Mitch) Mitchell McConnellThe Hill's Morning Report - Dem candidates sell policy as smart politics Overnight Defense: Trump ends sanctions waivers for buying Iranian oil | At least four Americans killed in Sri Lanka attacks | Sanders pushes for Yemen veto override vote McConnell: 'Time to move on' from Trump impeachment talk MORE (R-Ky.) said Wednesday morning.

Sens. Grassley, Lindsey GrahamLindsey Olin GrahamIf you don't think illegal immigrants are voting for president, think again Graham challenges Dems to walk the walk on impeachment Hillicon Valley: House Dems subpoena full Mueller report | DOJ pushes back at 'premature' subpoena | Dems reject offer to view report with fewer redactions | Trump camp runs Facebook ads about Mueller report | Uber gets B for self-driving cars MORE (R-S.C.) and Sen. Ted CruzRafael (Ted) Edward CruzMJ Hegar announces Texas Senate bid Liberal survey: Sanders cruising, Buttigieg rising Overnight Defense: Trump ends sanctions waivers for buying Iranian oil | At least four Americans killed in Sri Lanka attacks | Sanders pushes for Yemen veto override vote MORE’s (R-Texas) alternative would have increased resources to prosecute violators of gun laws, criminalized straw purchasing and trafficking, increased school safety funding, and would have allowed interstate sale of firearms and transportation of firearms. 

“In my view the approach of the federal government to violent crime should be very simple, it should be focused on stopping violent criminals,” Cruz said ahead of the vote. “[S. 649] doesn’t target violent criminals, it targets law abiding citizens.”

Their bill also would have created a task force, funded through an Asset Forfeiture Fund, to prosecute those who fail criminal background checks.

Graham said that out of 80,000 people who failed the background check last year, the Department of Justice only prosecuted 44. He said DOJ should at least go after criminals “dumb enough” to try to get a gun.

The Senate was scheduled to vote on nine amendments Wednesday, all of which were subject to a 60-vote threshold. More amendment agreements are possible later this week or next.