Rudy Giuliani said Wednesday that the team of lawyers handling President Trump Donald John TrumpSteele Dossier sub-source was subject of FBI counterintelligence probe Pelosi slams Trump executive order on pre-existing conditions: It 'isn't worth the paper it's signed on' Trump 'no longer angry' at Romney because of Supreme Court stance MORE's response to the special counsel investigation would send 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 a counteroffer for a potential interview on Wednesday.

Giuliani told CNN that the letter would represent "a good faith attempt to reach an agreement" with the special counsel's office on a possible interview between Mueller and the president, which Trump's team has warned would not be allowed to focus on questions of obstruction of justice.

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Questions on Trump's remarks about former national security adviser Michael Flynn and fired FBI Director James Comey James Brien ComeySteele Dossier sub-source was subject of FBI counterintelligence probe Judge will not dismiss McCabe's case against DOJ Democrats fear Russia interference could spoil bid to retake Senate MORE would be off-limits, as Trump's lawyers view them as "perjury traps," Giuliani told CNN.

"For example: 'What did you say about Flynn?' 'Why did you fire Comey?'" They already know our answer," Giuliani said Wednesday.

"If they can show us something in that area that didn't involve those direct questions, that we don't consider perjury traps, we would consider it," he added, though he said he "can't think of what that would be."

The remarks follow similar comments Giuliani made to The Hill on Tuesday, in which the former New York City mayor said that while it would not honor all of the special counsel's requests, they hoped to find a compromise that was within the "realm of debatable and negotiable.”

“We’re not giving them a straight turndown,” Giuliani said Tuesday. “It'll be done tomorrow — or in the worst case scenario it will be done on Thursday."

The president's refusal to answer questions about obstruction follow news that Mueller's team is looking at the president's Twitter account for evidence of possible intent to obstruct justice.

Trump himself has called for an interview with Mueller in the past, though his lawyers have been largely against such a meeting occurring.