Senators are making a bipartisan push to improve the foreign lobbying disclosure process.

Sen. Chuck Grassley Charles (Chuck) Ernest GrassleyGOP lawmakers distance themselves from Trump comments on transfer of power The Hill's 12:30 Report: Ginsburg lies in repose Top GOP senators say Hunter Biden's work 'cast a shadow' over Obama Ukraine policy MORE (R-Iowa) on Monday introduced legislation that would give the Justice Department more tools to investigate possible violations of the Foreign Agents Registration Act (FARA), a 1938 statute that lawmakers on both sides of the aisle have characterized as outdated and weak.

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The measure — co-sponsored by Democratic Sens. Jeanne Shaheen Cynthia (Jeanne) Jeanne ShaheenSenate Democrats introduce bill to sanction Russians over Taliban bounties Trump-backed candidate wins NH GOP Senate primary to take on Shaheen Democratic senator urges Trump to respond to Russian aggression MORE (N.H.) and Dianne Feinstein Dianne Emiel FeinsteinTrump faces tricky choice on Supreme Court pick The Hill's Morning Report - Sponsored by Facebook - Trump previews SCOTUS nominee as 'totally brilliant' Abortion stirs GOP tensions in Supreme Court fight MORE (Calif.), along with GOP Sens. John Cornyn John CornynQuinnipiac polls show Trump leading Biden in Texas, deadlocked race in Ohio The 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 MORE (Texas), Marco Rubio Marco Antonio RubioGOP lawmakers distance themselves from Trump comments on transfer of power McConnell pushes back on Trump: 'There will be an orderly transition' Graham vows GOP will accept election results after Trump comments MORE (Fla.) and 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 (Ind.) — would allow the Justice Department to increase the penalties for people who fail to properly register as a foreign agent.

It also would require the Government Accountability Office to study whether and to what extent the Lobbying Disclosure Act exemption is being abused to conceal foreign lobbying activity.

Foreign lobbying has been in the national spotlight since special counsel Robert Mueller Robert (Bob) MuellerCNN's Toobin warns McCabe is in 'perilous condition' with emboldened Trump CNN anchor rips Trump over Stone while evoking Clinton-Lynch tarmac meeting The Hill's 12:30 Report: New Hampshire fallout MORE obtained guilty pleas under FARA from two prominent Trump 2016 campaign aides — Paul Manafort Paul John ManafortOur Constitution is under attack by Attorney General William Barr Bannon trial date set in alleged border wall scam Conspicuous by their absence from the Republican Convention MORE and Richard Gates — over their lobbying work on behalf of pro-Russian forces in Ukraine.

Grassley has been one of the loudest voices calling for changes to foreign lobbying rules.

Grassley introduced the Disclosing Foreign Influence Act with Rep. Mike Johnson James (Mike) Michael JohnsonReclaiming the American Dream LWCF modernization: Restoring the promise Mike Johnson to run for vice chairman of House GOP conference MORE (R-La.), which focused mainly on the Lobbying Disclosure Act, in the previous Congress.

Shaheen and Young have teamed up on two similar bills — one to give the Justice Department new authority to investigate potential violations and another, with Feinstein and Cornyn, to strengthen FARA.