Giuliani's remarks follow reports that the president's legal team sent a letter to special counsel Robert Mueller in late January outlining a legal justification that as president, Trump can not be held accountable for obstruction of justice and should not be interviewed by investigators.
Asked whether Trump has the power to give himself a pardon, Giuliani said, "He's not, but he probably does".
Trump's team wrote to Mueller in January making the case that the president can not commit obstruction of justice under Mueller's probe because of his role as president having constitutional authority over all federal investigations.
Another former DOJ official, Andrew McCarthy, agrees with the legal consensus that a president can pardon himself, and goes even farther.
The lawyers conclude the letter by offering to answer questions from Mueller in written form.
Giuliani refuted reports that by pardoning individuals like Indian American Dinesh D'Souza, Trump is sending a signal to those caught up in the Russian Federation investigation.
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The speed of broadband internet connections has also been brought down to prevent uploading of provocative posts and pictures. The photo taken by an Associate Press photographer has now went viral on social media platforms eliciting angry reactions.
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Conservative scholar and filmmaker Dinesh D'Souza, left, accompanied by his lawyer Benjamin Brafman leaves federal court in NY . But political controversy aside, the crime that landed D'Souza in jail centered on campaign finance violations.
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The other 12 people who were hurt, ranging in age from 23-69 years old, were treated for their injuries and released. Swaraj said she was in constant touch with India's consul general in Toronto and the high commissioner in Canada .
Trump has issued a series of ever-sharper tweets attacking the Mueller probe as politically motivated and insisting there was "no collusion" between his campaign team and Russian Federation. "A President can also order the termination of an investigation by the Justice Department or FBI at any time and for any reason".
Does President Trump have the power to pardon himself? Mr Trump has previously said he might be willing to attend but his lawyers appear opposed, fearing it could lead to charges of perjury.
While saying on Sunday that Trump wanted to sit down with Mueller, Giuliani added, "It's beginning to get resolved in favor of not doing it". Today, Trump can keep sending his lawyers out to make the most extreme political case-a president can't commit obstruction, for example-while he gives speeches about peace overseas and prosperity at home.
"Is the Special Counsel/Justice Department leaking my lawyers letters to the Fake News Media?", Trump tweeted Saturday. There is, in fact, a case for the president to issue a blanket #RussiaGate pardon, and the case is getting stronger, thanks to the irrational hatred of his opponents.
Why would Mr Trump need to pardon himself?"I think the legally correct answer is, as usual, the opposite of Giuliani's answer".
"It could lead to impeachment", Giuliani said, referring to the idea of Trump pardoning himself.
"We understand that if the president exercised [his power], number one, it would be challenged. and we realize that the whole switch in public opinion that has been on the president's side would probably shift back", Giuliani said on Meet the Press. Trump fired him a year ago. "I'm not billing by the hour, otherwise I could tell you exactly", he joked about the case he has taken on for free.