Rudy Giuliani said Wednesday that President Donald Trump's legal team was making a "good-faith attempt to reach an agreement" with Russia special counsel Robert Mueller for an interview on possible obstruction charges, CNN reports.

Giuliani, the former New York City mayor, told the cable network that Trump's legal team would respond to Mueller's interview request Wednesday.

"It is good-faith attempt to reach an agreement," Giuliani said.

He declined to say what the Mueller counteroffer was, only that "there is an area where we could agree, if they agree."

Giuliani added that Trump's team would consider questions of obstruction, as long as none hinted at possible "perjury traps."

The lawyer's comments underscored the continued back and forth between Trump's team and Mueller's prosecutors over an interview with the president.

Mueller responded to a letter last week from Trump's attorneys regarding the scope and format of a potential interview.

The special counsel wants ask Trump about obstruction of justice and other topics, according to reports, but Giuliani has said Trump's team wanted questions only regarding alleged collusion between the president's campaign and Russia in the 2016 election.

Giuliani has argued that no "legal basis" existed for Mueller to question Trump about obstruction.

However, the lawyer told Politico Tuesday that Trump's team remained open to the possibility questions about obstruction being asked in a possible interview.

"We’ll leave a little wiggle room," Giuliani said in an interview. "It’s not so much obstruction questions.

"It’s really sucker punches."

The comments marked a change in from Monday, when Giuliani told The Washington Post that the president's lawyers had a "real reluctance about allowing any questions" on last year's firing of FBI Director James Comey.

"If he can demonstrate to us he's got a couple questions on obstruction that he doesn’t have the answer to — that he really needs the answer to — and he hasn’t made up his mind that Trump is lying, we might — we might — allow that," he told Politico.

Trump has repeatedly slammed the Russia investigation as a "witch hunt"— though The New York Times reported last week that the president had been pushing for a Mueller interview to clear his name, urging his lawyers to reach an agreement.