Senators are renewing a long-stalled debate over President Trump Donald John TrumpOmar fires back at Trump over rally remarks: 'This is my country' Pelosi: Trump hurrying to fill SCOTUS seat so he can repeal ObamaCare Trump mocks Biden appearance, mask use ahead of first debate MORE's legal authority to target terrorist groups overseas.

A bipartisan group of senators introduced the legislation to update the authorization for the use of military force (AUMF) on Monday.

If passed, it would replace the 2001 and 2002 bills that authorized the wars in Afghanistan and Iraq and have been used as the legal basis for military action against terrorist groups.

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"There have been a number of efforts over the years to update these authorities, and while there is still work ahead, I am pleased that we have reached an agreement on a product for the committee to consider," Sen. Bob Corker Robert (Bob) Phillips CorkerHas Congress captured Russia policy? Tennessee primary battle turns nasty for Republicans Cheney clashes with Trump MORE (R-Tenn.), the chairman of the Foreign Relations Committee, said in a statement.

In addition to Corker, Sens. Tim Kaine Timothy (Tim) Michael KaineButtigieg stands in as Pence for Harris's debate practice Trump meets with potential Supreme Court pick Amy Coney Barrett at White House Names to watch as Trump picks Ginsburg replacement on Supreme Court MORE (D-Va.), Jeff Flake Jeffrey (Jeff) Lane FlakeJeff Flake: Republicans 'should hold the same position' on SCOTUS vacancy as 2016 Republican former Michigan governor says he's voting for Biden Maybe they just don't like cowboys: The president is successful, some just don't like his style MORE (R-Ariz.), Christopher Coons Christopher (Chris) Andrew CoonsMurkowski: Supreme Court nominee should not be taken up before election Battle lines drawn on precedent in Supreme Court fight Sunday shows - Ruth Bader Ginsburg's death dominates MORE (D-Del.), Todd Young Todd Christopher YoungSenate GOP eyes early exit Why the US should rely more on strategy, not sanctions Davis: The Hall of Shame for GOP senators who remain silent on Donald Trump MORE (R-Ind.) and Bill Nelson Clarence (Bill) William NelsonDemocrats sound alarm on possible election chaos Trump, facing trouble in Florida, goes all in NASA names DC headquarters after agency's first Black female engineer Mary W. Jackson MORE (D-Fla.) are supporting the bill.

Though the legislation comes days after President Trump launched "precision" military strikes in response to an alleged chemical weapons attack in Syria, the bill does not address the president's legal authority to take action against Syrian President Bashar Assad or any other nation-state.

It does specify that a sovereign nation would not qualify as an "associated force."

In addition to repealing the 2001 and 2002 AUMFs, it allows Trump to use "all necessary and appropriate force" against al Qaeda, the Taliban and the Islamic State in Iraq and Syria (ISIS).

"Our proposal finally repeals those authorizations and makes Congress do its job by weighing in on where, when and with who we are at war," Kaine added in a statement.

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In a move that is likely to draw backlash from liberal lawmakers and outside groups, it would allow Trump to take action against an associated terrorist group or use military action in a new country without congressional authorization.

Trump would then need to notify Congress, who would under the legislation have 60 days to try to remove his authority to target the associated group or prohibit him from taking action in a specific country.

Corker told reporters that the legislation does not include a built-in sunset for the new AUMF.

Instead, it establishes a process whereby every four years a president must submit a proposal to Congress, which could then be fast-tracked through both chambers. If Congress doesn't pass new legislation, the Corker-Kaine war bill would stay in place.

Kaine said the Trump administration pushed back strongly against including a firm sunset in the bill.

"That was strongly objected to by Secretary Mattis and others. They just felt like if you do that, you're sending a signal that you're going to leave and they'll wait you out," he said.

He added the language in the final bill was a "middle ground" between the Democratic push for a firm sunset and Republican's push for no timeline.

The legislation comes as Congress has struggled for years with passing a new war authorization amid deep political and policy divides.

Corker said he hopes the Foreign Relations Committee will mark up the legislation next week, as soon as Monday.

He noted earlier this year that he would like a week of floor time to debate the issue, if it can get passed his committee. But that could be a big ask heading into a midterm election, where leadership could be wary of starting debate of Trump's war authority.

"It is a political season. Everybody says they want to weigh in on an AUMF. We'll see if everybody really wants to weigh in an AUMF," Corker told reporters on Monday.

Sen. John Cornyn John CornynThe Hill's Campaign Report: GOP set to ask SCOTUS to limit mail-in voting Liberal super PAC launches ads targeting vulnerable GOP senators over SCOTUS fight Senate GOP faces pivotal moment on pick for Supreme Court MORE (Texas), the No. 2 Senate Republican, said late last week that he has not heard any discussion of giving the bill floor time.

—Updated at 8:10 p.m.