President Donald Trump's personal attorney, Rudy Giuliani, on Friday escalated his battle with Michael Avenatti, the attorney for adult-film actress Stormy Daniels.
Avenatti had challenged Giuliani to a head-to-head debate earlier this week.
"It would be very helpful for the public to witness a discussion between Mr. Giuliani and me concerning the facts of the case, etc," Avenatti tweeted Tuesday. "I am willing to participate on any network provided both sides are provided a fair shake. I am also willing to do it on 12-hrs notice."
Rudy Giuliani, former mayor of New York, smiles while arriving to participate in a discussion during the Values Voter Summit with Donald Trump, 2016 Republican presidential nominee, not pictured, in Washington, D.C., U.S., on Friday, Sept. 9, 2016. Trump and his running mate said this week that Russian President Vladimir Putin is a stronger leader than U.S. President Barack Obama, provoking Democratic condemnation and prompting some Republicans to distance themselves. Photographer: Andrew Harrer/Bloomberg via Getty Images
NEW YORK, NY - FEBRUARY 27: Rudolph Giuliani, US Attorney for the Southern District of New York, is photographed February 27, 1985 announcing the arrests in the 'Commission' case. A Federal racketeering indictment charged nine men with participating in a ''commission'' that governs the five organized-crime ''families'' in New York City. (Photo by Yvonne Hemsey/Getty Images)
D.A. Rudolph Giuliani at Daily News Newsmakers Conference. (Photo By: Anthony Casale/NY Daily News via Getty Images)
Koch & Giuliani, join comm. of Doi Kevin Frawley, outline the guilty pleas of six arrested in bribes. 1. Giuliani and Koch await their turn in press con at D.O.I. 80 Maiden Lane. 2. Giuliani and Koch. 3. Head to Head after Giuliani gave Koch an Excellent to a reporter's questionKoch got up to shake his hand when he was through. January 17, 1989. (Photo by Louis Liotta/New York Post Archives / (c) NYP Holdings, Inc. via Getty Images)
Giuliani holds press conference about the NYC homeless. August 01, 1989. (Photo by Dan Brinzac/New York Post Archives / (c) NYP Holdings, Inc. via Getty Images)
Guiliani at Inside Edition -- New TV personality at Inside Edition, Rudy Guiliani. Rudy Guiliani. Rudy honing up before taping of his part of the show. Rudy reviewing tapes in editing room. March 12, 1990. (Photo by Michael Schwartz/New York Post Archives / (c) NYP Holdings, Inc. via Getty Images)
Rudy Giuliani. November 05, 1993. (Photo by David Rentas/New York Post Archives / (c) NYP Holdings, Inc. via Getty Images)
UNITED STATES - JANUARY 02: Andrew Giuliani yawns as his father Rudy speaks after he was sworn in as mayor of New York City. (Photo by Budd Williams/NY Daily News Archive via Getty Images)
Rudy Giuliani. January 12, 1994. (Photo by David Rentas/New York Post Archives / (c) NYP Holdings, Inc. via Getty Images)
Police, criminal justice unions endorse Cuomo for governor on steps of City Hall. Thomas Scotto, Pres. of N.Y.C.P. detectives, endorsement assoc. was between them. October 25, 1994. (Photo by Michael Norcia/New York Post Archives / (c) NYP Holdings, Inc. via Getty Images)
(Original Caption) California governor Pete Wilson meets with New York City mayor Rudy Giuliani at city hall. (Photo by mark peterson/Corbis via Getty Images)
UNITED STATES - SEPTEMBER 26: New York Knicks' President David Checketts (left) and NBA Commissioner David Stern present Mayor Rudy Giuliani with a Giuliani 98 jersey. The 1998 NBA All-Star game will be held in New York City. (Photo by Keith Torrie/NY Daily News Archive via Getty Images)
UNITED STATES - JULY 02: Shadow of Mayor Rudy Giuliani shows against background after he was endorsed by the hotel workers union at the Waldorf-Astoria., (Photo by Susan Watts/NY Daily News Archive via Getty Images)
26 Oct 1996: New York City mayor Rudy Guilliani, George Steinbrenner, and New York Yankees manager Joe Torre celebrate after Game Six of the World Series against the Atlanta Braves at Yankee Stadium in New York City, New York. The Yankees won the game, 3-
UNITED STATES - MAY 04: Mayor Rudy Giuliani is flanked by CBS President Leslie Moonves (left) and Donald Trump at news conference at the GM Building, where CBS announced that Bryant Gumbel will be the host of its new morning news program, 'This Morning.' Show, to be launched Nov. 1, will broadcast from Trump's International Plaza Building., (Photo by Andrew Savulich/NY Daily News Archive via Getty Images)
399759 01: Former New York Mayor Rudy Giuliani made his first appearance on 'The Tonight Show with Jay Leno' January 16, 2002 in Burbank CA. Giulani talked about the events of September 11 and his recent selection as Time Magazine's 'Man of the Year.' (Photo by Paul Drinkwater/NBC via Getty Images)
SATURDAY NIGHT LIVE -- Episode 9 -- Air Date 12/15/2001 -- Pictured: (l-r) Tina Fey, Rudy Giuliani, Jimmy Fallon during 'Weekend Update' on December 15, 2001 (Photo by Dana Edelson/NBC/NBCU Photo Bank via Getty Images)
400517 05: Former New York City Mayor, Rudy Giuliani, gives a thumbs up to football fans before Super Bowl XXXVI February 3, 2002 in New Orleans, LA. Super Bowl XXXVI will be played by the New England Patriots and the St. Louis Rams at the Superdome in New Orleans, LA. (Photo by Jed Jacobsohn/Getty Images)
MANCHESTER, UNITED KINGDOM - JANUARY 22: Former New York Mayor Rudolph Giuliani smiles as he sits with copies of his book 'Leadership', published last October on January 22, 2003 in Waterstones bookshop, Deansgate, Manchester, England. The book outlines 'the principles Giuliani has worked through, and how he has adhered to them through his career, and how they came into play in the aftermath of the World Trade Centre'. (Photo by Gary M.Prior/Getty Images)
CEDAR RAPIDS, IA - JANUARY 19: Former New York City Mayor Rudy Giuliani gestures as he takes questions from emergency personnel at a rally held to drum up support for the 2004 Bush-Cheney presidential ticket January 19, 2004 in Cedar Rapids, Iowa. Iowa will be the first state in the nation to test the popularity of the Democratic presidential hopefuls when it holds the caucuses tonight. (Photo by Scott Olson/Getty Images)
UNITED STATES - DECEMBER 24: Former Mayor Rudy Giuliani kisses the hand of a little girl as he visits Hale House in Harlem on the day before Christmas to pass out gifts and read holiday stories to the children. (Photo by Susan Watts/NY Daily News Archive via Getty Images)
NEW YORK - SEPTEMBER 11: Former New York City Mayor Rudolph Giuliani speaks as he makes a tribute to the victims of the terrorist attacks of 2001 on September 11, 2005 in New York City. This is the fourth anniversary of the September 11th attacks. (Photo by Daniel Berehulak/Getty Images)
WILKES-BARRE, PA - NOVEMBER 3: Former New York City Mayor Rudy Giuliani (R) speaks as U.S. Sen. Rick Santorum (R-PA) (L) looks on at a campaign rally November 3, 2006 in Wilkes-Barre, Pennsylvania. Santorum faces Democratic challenger Bob Casey Jr. in the November election. (Photo by Jeff Fusco/Getty Images)
SPARTANBURG, SC - FEBRUARY 21: Republican presidential hopeful, former New York Mayor Rudy Giuliani holds a campaign rally with first responders at the North Spartanburg Fire Department on February 21, 2007 in Spartanburg, South Carolina. (Photo by Charles Ommanney/Getty Images)
HENDERSON, NV - NOVEMBER 01: Former New York City Mayor Rudy Giuliani reacts as he is greeted by supporters at a McCain-Palin regional headquarters office November 1, 2008 in Henderson, Nevada. As candidates continue to bring out the political heavy-hitters for their last pitches, Giuliani will be campaigning in several states for Republican presidential nominee Sen. John McCain (R-AZ) leading up to the election on November 4. (Photo by Ethan Miller/Getty Images)
NEW YORK - NOVEMBER 06: Former New York City Mayor Rudy Giuliani celebrates during the New York Yankees World Series Victory Parade on November 6, 2009 in New York, New York. (Photo by Jared Wickerham/Getty Images)
LATE NIGHT WITH JIMMY FALLON -- Episode 487 -- Pictured: (l-r) Former New York City Mayor Rudy Giuliani during an interview with Jimmy Fallon on August 8, 2011 (Photo by Lloyd Bishop/NBC/NBCU Photo Bank via Getty Images)
UNITED STATES â SEPTEMBER 6: Former New York mayor Rudy Giuliani waits to speak at the National Press Club luncheon in Washington on Tuesday, Sept. 6, 2011. (Photo By Bill Clark/Roll Call)
July 27, 2012 Former NYC Mayor Rudy Giuliani and the Republican Team Meet & Greet to Support Romney in his Presidential Campaign. Mayor Giuliani looking for support as the guest speaker in the Cuban Community of Calle Ocho - Little Havana in South FloridaFlorida (Photo by Michele Eve Sandberg/Corbis via Getty Images)
SCARBOROUGH, NY - JULY 17: Rudy Giuliani attends Joe Torre Safe At Home Foundation 2013 Golf and Tennis Classic at Sleepy Hollow Country Club on July 17, 2013 in Scarborough, New York. (Photo by Bobby Bank/Getty Images)
Florida Gov. Rick Scott and former Mayor of New York Rudy Giuliani, arrive at a campaign stop in Miami, as Scott kicks off the Get Out the Early Vote bus tour (Photo by Michele Eve Sandberg/Corbis via Getty Images)
NEW YORK, NY - APRIL 15: Former Mayor of New York City Rudy Giuliani attends the Opening Night premiere of 'Live From New York!' during the 2015 Tribeca Film Festival at the Beacon Theatre on April 15, 2015 in New York City. (Photo by Jamie McCarthy/Getty Images for the 2015 Tribeca Film Festival)
PHOENIX, AZ - AUGUST 31: Rudy Giuliani, former mayor of New York City, speaks in support of Republican presidential candidate Donald Trump during a Trump campaign rally on August 31, 2016 in Phoenix, Arizona. (Photo by Ralph Freso/Getty Images)
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"I don't get involved with pimps," he said of the lawyer. "The media loves to give him room because he makes these roundabout charges and they turn out to mean nothing. I think he's going to get himself in serious trouble."
Avenatti, a cable news mainstay, made waves this week with the revelation of some Michael Cohen's financial dealings after the 2016 presidential election. Cohen, the longtime lawyer to Trump, accepted payments from AT&T, pharmaceutical company Novartis, Korea Aerospace Industries, and Russian-tied investment firm Columbus Nova.
Those companies paid Cohen in excess of $1.2 million through the shell company, Essential Consultants LLC, that he set up to facilitate the $130,000 hush money payment to Daniels, who alleges she had an affair in 2006 with Trump. Cohen and White House aides denied the affair took place, though Giuliani made extensive headlines last week when he said Trump reimbursed Cohen for the payment.
Stormy Daniels' lawyer Michael Avenatti
Stormy Daniels' lawyer Michael Avenatti
Michael Avenatti, attorney for Stormy Daniels, is pictured outside the Manhattan Federal Court in New York City, New York, U.S., April 13, 2018. REUTERS/Jeenah Moon
Adult film actress Stephanie Clifford, also known as Stormy Daniels, speaks to media along with lawyer Michael Avenatti (R) outside federal court in the Manhattan borough of New York City, New York, U.S., April 16, 2018. REUTERS/Brendan Mcdermid
Michael Avenatti (C), lawyer for adult-film actress Stephanie Clifford, also known as Stormy Daniels, speaks to the media outside the U.S. District Court for the Central District of California after a hearing regarding Clifford's case against Donald J. Trump in Los Angeles, California, April 20, 2018. REUTERS/Lucy Nicholson
Michael Avenatti, lawyer for adult-film actress Stephanie Clifford, also known as Stormy Daniels, leaves with a film crew film as he departs the U.S. District Court for the Central District of California after a hearing regarding Clifford's case against Donald J. Trump in Los Angeles, California, April 20, 2018. REUTERS/Mike Blake
Michael Avenatti, lawyer for adult-film actress Stephanie Clifford, also known as Stormy Daniels, speaks to the media outside the U.S. District Court for the Central District of California after a hearing regarding Clifford's case against Donald J. Trump in Los Angeles, California, April 20, 2018. REUTERS/Mike Blake
Stormy Daniels' attorney Michael Avenatti leaves federal court surrounded by news media in the Manhattan borough of New York City, New York, U.S., April 16, 2018.
Michael Avenatti (R), attorney for Stormy Daniels, is pictured outside the Manhattan Federal Court in New York City, New York, U.S., April 13, 2018. REUTERS/Jeenah Moon
THE VIEW - On Tuesday, April 17, Stormy Daniels sits down with the co-hosts of The View (11:00 a.m.-12:00 p.m. EDT) for her first live television interview. Daniels will be joined in studio by her attorney Michael Avenatti. 'The View' airs Monday-Friday (11:00 am-12:00 pm, ET) on the ABC Television Network.
(Photo by Heidi Gutman/ABC via Getty Images)
JOY BEHAR, STORMY DANIELS, MICHAEL AVANETTI
NEW YORK, NY - APRIL 16: Stormy Daniels and Michael Avenatti are seen outside federal court in downtown Manhattan on April 16, 2018 in New York City. (Photo by Raymond Hall/GC Images)
NEW YORK, NY - APRIL 16: Adult film actress Stormy Daniels' lawyer Michael Avenatti arrives at Federal Court for the hearing at the United States District Court Southern District of New York related to Michael Cohen, President Trump's longtime personal attorney and confidante, April 16, 2018 in New York City. Cohen and lawyers representing President Trump are asking the court to block Justice Department officials from reading documents and materials related to his Cohen's relationship with President Trump that they believe should be protected by attorney-client privilege. Officials with the FBI, armed with a search warrant, raided Cohen's office and two private residences last week. (Photo by Yana Paskova/Getty Images)
Attorney for Stormy Daniels, Michael Avenatti (R), arrives for a court hearing at the US Courthouse in New York on April 16, 2018.
President Donald Trump's personal lawyer Michael Cohen has been under criminal investigation for months over his business dealings, and FBI agents last week raided his home, hotel room, office, a safety deposit box and seized two cellphones. / AFP PHOTO / Hector RETAMAL (Photo credit should read HECTOR RETAMAL/AFP/Getty Images)
NEW YORK, NY - APRIL 12: Gayle King, Michael Avenatti, Don Lemon and Sean Hannity attend the 2018 The Hollywood Reporter's 35 Most Powerful People In Media at The Pool on April 12, 2018 in New York City. (Photo by Taylor Hill/WireImage)
NEW YORK, NY - APRIL 13: Michael Avenatti, attorney for Stormy Daniels, speaks to reporters following a court proceeding regarding the search warrants served on President Donald Trump's longtime personal attorney Michael Cohen, at the United States District Court Southern District of New York, April 13, 2018 in New York City. Cohen and his lawyers are asking the court to block Justice Department officials from reading documents and materials related to his relationship with President Donald Trump that they believe should be protected by attorney-client privilege. Officials with the FBI, armed with a search warrant, raided Cohen's office and two private residences earlier in the week. (Photo by Drew Angerer/Getty Images)
THE VIEW - Stormy Daniels' attorney Michael Avenatti is the guest today, Monday, 3/26/18 on ABC's 'The View.' 'The View' airs Monday-Friday (11:00 am-12:00 pm, ET) on the ABC Television Network.
(Photo by Paula Lobo/ABC via Getty Images)
MEGHAN MCCAIN, SARA HAINES, MICHAEL AVANATTI, JOY BEHAR, WHOOPI GOLDBERG, SUNNY HOSTIN
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Cohen is under criminal investigation in the Southern District of New York for possible campaign finance violations and bank fraud. He has not been charged with a crime.
Avenatti did not make clear how he obtained the banking records, and experts were left guessing just how he came upon them. The Treasury Department's inspector general opened an investigation this week into whether Suspicious Activity Reports were leaked to Avenatti, who did not immediately return a request for comment from Business Insider.
"I think he's got a lot of explaining to do," Giuliani said, noting that he did not know how Avenatti would come upon those records.
"I wouldn't debate him, because it wouldn't be fair," the former New York City mayor and US attorney continued.
"I debate like really intelligent skilled people," he added, pointing to famed attorney and Harvard law professor Alan Dershowitz.
"I know Alan Dershowitz," Giuliani said. "He's no Alan Dershowitz."