Now we hear grumbling from the Mueller team that the full report isn't exactly the "bowl of cherries" Trump and Barr would have us believe, what a surprise.
Anonymous members of the Mueller team have reportedly told associates the full report will be more damaging for Trump than the Barr letter indicated.
The report is around 400 pages and should be out by mid-April.
Mr Barr said he had concluded there was not enough evidence to show that Mr Trump committed the crime of obstruction.
Asked in an interview with Fox and Friends Weekend about calls for the release of the full confidential report, Trump said on Saturday: "It's really up to the attorney general, whatever he wants to do".
The attorney general, in another letter to Congress, claimed that it was his responsibility to redact large amounts of material from the Mueller report as it might reveal techniques and sources of U.S. intelligence agencies.
Giuliani's comments come just days after The New York Times reported on the upset among some Mueller staffers over Barr's handling of the report - particularly the attorney general's four-page summary that noted there was no evidence of collusion between the Trump campaign and Russian Federation, and Barr's decision not to proceed with obstruction of justice charges against Trump.
Legal experts say he has wide discretion to determine what should not be revealed, meaning the fight over blacked-out boxes is likely to spawn months of fights between Congress and the Justice Department, and it may end up in the courts.
Robert Mueller has released his report into the 2016 election to the Justice Department. "And it's not up to the attorney general to decide with respect to that or with respect to other material that he decides Congress can't see".
On Tuesday, members of Congress might get their first chance to press Barr in public about the Mueller report, when he appears before the House Appropriations Committee in a hearing nominally focused on the Justice Department Budget.
"Prosecutors generally take a broad view of what constitutes grand jury information in order to avoid inadvertently disclosing it, but here there's a strong counterbalancing interest in ensuring that everything that can come out does come out, " Bies said.
House of Representatives Judiciary Committee Chairman Jerrold Nadler, already pressing Barr to release the entire unredacted report to Congress, expanded his demands.
On Friday, the Justice Department, commenting on a fresh ruling in a case on grand jury secrecy, signalled its stance against that. In that letter, Barr, who consulted with deputy Attorney General Rod Rosenstein over the Mueller report's conclusions, declined to pursue charges against the president or his allies for "obstruction".