"I know for a fact that this is not the only tape," Avenatti said after it emerged that Cohen had recorded Trump discussing a payment to an ex-Playboy model.
"Impeachment of the president would be the better answer" over criminal prosecution, Lanny Davis opined.
"This is the most corrupt investigation I have ever seen," Giuliani said of Mueller's probe.
Trump's lawyer appeared on Hannity.
The president's lawyer said what was being done to Trump was "heartless" and "cruel."
Rudy Giuliani, a lawyer for 72-year-old President Donald Trump, also said Joe Biden was too old.
"When this whole thing is over, things might get cleaned up with some presidential pardons," Giuliani said.
"What's going to happen here is the narcissism of this president, his arrogance, his stupidity, is ultimately going to catch up to him," Avenatti said of Trump.
Michael Avenatti has frequently attacked President Donald Trump's personal lawyer, Rudy Giuliani.
"Absolutely, I have a lot of sympathy for the first lady," Avenatti said.
"They have such a distorted image of who he is that they don't have the kind of reaction that we do," a Trump family author said of Ivanka, Melania and Donald Trump.
Since joining Trump's legal team in April, Giuliani has distinguished himself from the president's other attorneys with his frequent promotion of unfounded claims.
"I don't believe Mrs. Trump has ever discussed her thoughts on anything with Mr. Giuliani," Melania Trump's spokeswoman said.
"If any atty for any Fortune 500 co. made the public comments that Giuliani did yesterday (which he affirmed this morning), they would be immediately fired," Avenatti tweeted.
"You misogynistic fool," Mika Brzezinski said. "Are you kidding me? 'Just look at Stormy Daniels?' Just look at yourself. Are you kidding me?"
The moment at a restaurant was captured on video.
The lawyer has made a series of comments about the Russia probe in recent weeks.
Joe Scarborough said suggesting the president's "sworn political enemy" be shot was "literally out of a tyrant's playbook."
The president's lawyer claimed he could not be subpoenaed or indicted while in office.
Attorney to President Donald Trump, Rudy Giuliani, continued taking shots at special counsel Robert Mueller Sunday, saying it's unlikely Trump ever sits for an interview with Mueller.
Both Giuliani and Avenatti have been frequent guests on cable news shows, turning the legal battle swirling around Cohen and Trump into a veritable war of words.
The lawyer previously suggested the investigation would end by fall.