Senate Judiciary Committee Chairman Patrick LeahyPatrick Joseph LeahyOVERNIGHT ENERGY: Dakota Access pipeline to remain in operation despite calls for shutdown | Biden hopes to boost climate spending by B | White House budget proposes .4B for environmental justice Biden .5T budget proposes major hike in social programs Biden hopes to boost climate spending by billion MORE (D-Vt.) called Vitter's amendment "prohibitively expensive" and urged colleagues to vote against it.

Republican Gang of Eight Sens. Lindsey GrahamLindsey Olin GrahamMSNBC's Joy Reid pans Manchin, Sinema as the 'no progress caucus' Overnight Defense: Biden proposes 3B defense budget | Criticism comes in from left and right | Pentagon moves toward new screening for extremists Biden defense budget criticized by Republicans, progressives alike MORE (S.C.), John McCainJohn Sidney McCainColbert mocks Gaetz after Trump denies he asked for a pardon Five reasons why US faces chronic crisis at border Meghan McCain calls on Gaetz to resign MORE (Ariz.), Marco RubioMarco Antonio RubioHillicon Valley: Amazon wins union election — says 'our employees made the choice' Overnight Defense: Biden proposes 3B defense budget | Criticism comes in from left and right | Pentagon moves toward new screening for extremists The growing threat of China's lawfare MORE (Fla.) and Jeff FlakeJeffrey (Jeff) Lane FlakeFive reasons why US faces chronic crisis at border Senate GOP faces retirement brain drain Former GOP lawmaker: Republican Party 'engulfed in lies and fear' MORE (Ariz.) voted against Vitter's amendment, along with GOP Sens. Lisa MurkowskiLisa Ann MurkowskiTrump looms large over GOP donor retreat in Florida Top GOP super PAC endorses Murkowski amid primary threat Biden-GOP infrastructure talks off to rocky start MORE (Alaska), Susan CollinsSusan Margaret CollinsThe Hill's Morning Report - Biden assails 'epidemic' of gun violence amid SC, Texas shootings Biden-GOP infrastructure talks off to rocky start Moderate GOP senators and Biden clash at start of infrastructure debate MORE (Maine) and Kelley Ayotte (N.H.). Democratic Sen. Mark PryorMark Lunsford PryorBottom line Everybody wants Joe Manchin Cotton glides to reelection in Arkansas MORE (Ark.) voted for the entry-exit system amendment.

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The Senate is expected to continue amendment work on the Border Security, Economic Opportunity, and Immigration Modernization Act throughout June. The bipartisan group of eight senators, known as the Gang of Eight, introduced S. 744, which would create a pathway to citizenship for illegal immigrants already in the country, toughen border security, create a guest worker program and boost high-skilled immigration.

McCain said Vitter’s amendment could “delay” the immigration process for years. He also pointed out that the underlying bill has entry-exit measures, including the implementation of a system at sea and air ports.

Sen. Chuck GrassleyChuck GrassleyNumber of migrants detained at southern border reaches 15-year high: reports Grassley, Cornyn push for Senate border hearing The Hill's Morning Report - GOP pounces on Biden's infrastructure plan MORE (R-Iowa) pointed out that an effective entry-exist system is already suppose to be in place but that previous administrations have “thumbed their noses at the laws on the books.” He added that the Gang of Eight bill weakens this law by saying entry-exit systems need to be in place at only some points of entrance and it doesn’t require it to be a biometric system, which uses finger prints.

“This is a border security issue,” Grassley said of Vitter’s amendment. “It’s a national security issue and without this measure we are not in control of our borders.”

Republicans have warned that some border security amendments have to be adopted in order to gain more GOP support for final passage of the bill.

The Senate voted on other amendments Tuesday afternoon — all were held to a 60-vote threshold for passage.

Sen. Mary LandrieuMary Loretta LandrieuCassidy wins reelection in Louisiana Bottom line A decade of making a difference: Senate Caucus on Foster Youth MORE’s (D-La.) amendment was the first amendment accepted to the bill. Her amendment passed on by voice-vote and clarifies U.S. international adoption laws to ensure adoptees are granted U.S. citizenship. It would also repeal the pre-adoption parental visitation requirement for automatic citizenship and allow just one parent to visit the country of origin of the adoptee, rather than both adoptive parents.

Sen. Jon TesterJonathan (Jon) TesterThe Hill's Morning Report - Biden's infrastructure plan triggers definition debate Lawmakers say fixing border crisis is Biden's job Five things to watch on Biden infrastructure plan MORE’s (D-Mont.) amendment received a 94-0 vote. It expands the new Border Oversight Task Force to include tribal members so they can make border security recommendations relating to Native American tribes on the Northern and Southern border.

Earlier Tuesday, the Senate rejected an amendment from Sen. John ThuneJohn Randolph ThuneSunday shows preview: Democrats eye two-part infrastructure push; Michigan coronavirus cases surge Schumer kicks into reelection mode The Hill's Morning Report - Biden shifts on filibuster MORE (R-S.D.), which would have required the construction of more border fencing before illegal immigrants were given provisional legal status.