In return, Clifford would be allowed to "speak openly and freely about her prior relationship with the president and the attempts to silence her and use and publish and text messages, photos and videos relating to the president that she may have in her possession, all without fear of retribution or legal liability", the letter says.
President Trump is probably powerless to stop "60 Minutes" from airing an interview with the porn star who claims to have had an affair with him, according to legal experts.
Avenatti's new offer requires the signatures of "all parties", including that of the president.
Daniels accepted a $130,000 payment shortly before Election Day 2016 in exchange for her promise to remain silent about the alleged affair, which Trump denies.
She already has conducted an interview with contributor Anderson Cooper, although it is not known when the show will air.
Lawyers affiliated with the President have considered blocking the interview from airing.
Dropbox sees IPO price between US$16 and US$18 per share
Its venture arm, Salesforce Ventures, invests in enterprise cloud companies and it will be purchasing some $100m of Dropbox stock. Drew Houston, the founder and CEO of Dropbox, at the annual Allen & Company Sun Valley Conference in 2016 in Sun Valley, Idaho.
"This has never been about the money", Clifford's lawyer, Michael Avenatti, told NBC News on Monday.
"In light of the amount of misinformation that Mr. Cohen has put out there to the Wall Street Journal, the Washington Post and others, I think it's time for her to tell her story and for the public to decide who's telling the truth", he said on "Today". "The payment to Ms. Clifford was lawful, and was not a campaign contribution or a campaign expenditure by anyone".
The NDA, which was released by Avenatti in his lawsuit filed in a California court seeking relief from the agreement, referenced Trump under the pseudonym David Dennison, while Daniels is referred to as Peggy Peterson (PP). Our offer seeks to allow this to happen'.
Before Daniels' suit was filed, Cohen obtained a temporary restraining order barring Daniels from talking about the "confidential information" covered by the agreement.
The President has not addressed the alleged relationship publicly, though The White House and Trump's lawyer, Michael Cohen, have denied all allegations of the affair. Asked whether he had been contacted by Trump's team over the weekend, Avenatti said, "Not directly". The statement is an admission that the nondisclosure agreement exists and that it directly involves Trump. If he stands by the claim that he alone paid Stormy Daniels, it could be violating federal law and punishable by up to 5 years in prison.