President Trump Donald John TrumpFederal prosecutor speaks out, says Barr 'has brought shame' on Justice Dept. Former Pence aide: White House staffers discussed Trump refusing to leave office Progressive group buys domain name of Trump's No. 1 Supreme Court pick MORE's personal attorney, Rudy Giuliani Rudy GiulianiThe Hill's Campaign Report: GOP set to ask SCOTUS to limit mail-in voting CIA found Putin 'probably directing' campaign against Biden: report Democrats fear Russia interference could spoil bid to retake Senate MORE, wouldn't say Monday if he will comply with House Democrats' subpoena related to the administration's interactions with Ukraine, which are now the subject of an impeachment inquiry.

"I have received a subpoena signed only by Democrat Chairs who have prejudged this case," Giuliani said in a statement on Twitter.

I have received a subpoena signed only by Democrat Chairs who have prejudged this case. It raises significant issues concerning legitimacy and constitutional and legal issues including,inter alia, attorney client and other privileges. It will be given appropriate consideration. — Rudy Giuliani (@RudyGiuliani) September 30, 2019

Giuliani is facing mounting scrutiny over accusations that he tried to influence Ukrainian officials to investigate former Vice President Joe Biden Joe BidenFormer Pence aide: White House staffers discussed Trump refusing to leave office Progressive group buys domain name of Trump's No. 1 Supreme Court pick Bloomberg rolls out M ad buy to boost Biden in Florida MORE or Biden's son as part of a broad effort to aid Trump's 2020 re-election efforts.

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The House Intelligence Committee, chaired by Rep. Adam Schiff Adam Bennett SchiffSchiff to subpoena top DHS official, alleges whistleblower deposition is being stonewalled Schiff claims DHS is blocking whistleblower's access to records before testimony GOP lawmakers distance themselves from Trump comments on transfer of power MORE (D-Calif.), on Monday issued a subpoena for the former New York City mayor, requesting that he produce communications focused on Biden's son, Hunter, who served on the board of a Ukrainian energy company. The subpoena also called on Giuliani to hand over communications, including messages and phone records, dealing with his efforts to pressure Ukrainian officials to investigate unsubstantiated allegations of corruption against the Bidens.

In addition, it asked Giuliani to turn over communications regarding U.S. foreign assistance to Ukraine, as well as any information on efforts to withhold or deny it.

The subpoena, which was signed by Oversight Committee Chairman Elijah Cummings (D-Md.) and Foreign Affairs Committee Chairman Eliot Engel (D-N.Y.) demanded Giuliani respond by Oct. 15.

"Your failure or refusal to comply with the subpoena, including at the direction or behest of the president or the White House, shall constitute evidence of obstruction of the House's impeachment inquiry and may be used as an adverse inference against you and the president," the chairmen warned in a letter to Giuliani.

A whistleblower complaint, which was released publicly last week, accused Trump of working with Giuliani to use "the power of his office to solicit interference from a foreign government in the 2020 U.S. election." The complaint alleged that Trump during a July 25 phone call repeatedly pressured Ukrainian President Volodymyr Zelensky to investigate the Biden family.

The White House released a memorandum last week confirming that Trump asked Zelensky to work with Giuliani and Attorney General William Barr Bill BarrFederal prosecutor speaks out, says Barr 'has brought shame' on Justice Dept. Why a backdoor to encrypted data is detrimental to cybersecurity and data integrity FBI official who worked with Mueller raised doubts about Russia investigation MORE on efforts related to the matter.

The call occurred around the same time Trump delayed hundreds of millions of dollars in aid to Ukraine, raising speculation from Democrats as to whether the president used the aid as leverage in the talks.

Giuliani and Trump have acknowledged their efforts to persuade Ukrainian officials into investigating the Biden family, with Trump repeatedly denying allegations of wrongdoing, describing his talks with Zelensky as "perfect."

The subpoena comes as part of the House's formal impeachment inquiry of the president, which officially began last week. The House Foreign Affairs Committee also subpoenaed Secretary of State Mike Pompeo Michael (Mike) Richard PompeoWatchdog confirms State Dept. canceled award for journalist who criticized Trump Trump's push for win with Sudan amps up pressure on Congress Putin nominated for Nobel Peace Prize MORE as part of the inquiry on Friday.