Top members of the Judiciary Committee indicated Wednesday that they will move forward with their own investigation into Russia's election meddling, after meeting with special counsel Robert Mueller.

"We appreciate Special Counsel Mueller’s willingness to meet with us, and both parties have committed to keeping an open dialogue as we proceed," Sens. 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), Dianne Feinstein Dianne Emiel FeinsteinTrump plans to pick Amy Coney Barrett to replace Ginsburg on court Trump faces tricky choice on Supreme Court pick The Hill's Morning Report - Sponsored by Facebook - Trump previews SCOTUS nominee as 'totally brilliant' MORE (D-Calif.), Lindsey Graham Lindsey Olin GrahamLincoln Project mocks Lindsey Graham's fundraising lag with Sarah McLachlan-themed video The Hill's Morning Report - Sponsored by Facebook - Republicans lawmakers rebuke Trump on election Trump dumbfounds GOP with latest unforced error MORE (R-S.C.) and Sheldon Whitehouse Sheldon WhitehouseThe Hill's Morning Report - Sponsored by Facebook - Trump previews SCOTUS nominee as 'totally brilliant' Feinstein 'surprised and taken aback' by suggestion she's not up for Supreme Court fight Hillicon Valley: Murky TikTok deal raises questions about China's role | Twitter investigating automated image previews over apparent algorithmic bias | House approves bill making hacking federal voting systems a crime MORE (D-R.I.) said in a joint statement after the meeting.

They added that they had a "very productive discussion" on how their respective investigations "can proceed without impeding the other."

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Senators were largely tightlipped earlier Wednesday, upon leaving the meeting with Mueller, noting they would be releasing a joint statement.

Mueller has been meeting with lawmakers this week to map out boundary lines of the several ongoing investigations.

He met with the House Intelligence Committee on Tuesday evening.

Mueller, a former FBI director, is in charge of the FBI-Department of Justice investigation into Russia's election meddling, including potential ties between the Trump campaign and Moscow. He's also investigating President Trump for potential obstruction of justice, according to The Washington Post.

Meanwhile, a Judiciary subcommittee overseen by Graham and Whitehouse is digging into Russia's election interference.

The full committee is also looking into former FBI Director James Comey's firing, potential contacts between the Trump campaign and Moscow, and any moves by the Justice Department — in the Obama and Trump administrations — to interfere with FBI investigations.