In an apparent effort to link him directly to the deal, Daniels offered to "pay $130,000.00 to President Trump" by Friday.
Notably, the non-disclosure agreement used fake names to refer to Clifford and Trump: Peggy Peterson and David Dennison, respectively.
If the NDA is deemed void, she'll also be allowed to publish, without fear of legal action, any text messages, photos or videos she has relating Mr. Trump. But her spokeswoman said last month that Daniels planned to "tell her story", prompting Trump's lawyers to obtain a temporary restraining order from a private arbitrator.
The nondisclosure form signed by porn star Stormy Daniels - which prevents her from talking publicly about her alleged affair with President Trump - mentions "paternity" and "alleged children", which has led many to ask, "Uh, what?"
"We do not believe the money came out of Mr. Cohen's pocket ultimately", Avenatti said of the offer to wire the money to an account of Trump's choosing.
A few weeks ago, the alleged affair between Donald Trump and adult film star Stormy Daniels seemed destined to become just another one of the myriad revelations that would have ended any other administration in American history.
Neither Cohen nor lawyers who represent him responded to requests for comment Monday.
Cohen made the payment from an LLC he created shortly before issuing the payment.
However the latest development has seen Stormy offer to return a $165,000 payment she reportedly received from Trump's lawyer in 2016 not to discuss the alleged relationship.
Almost two weeks ago, Cohen obtained a temporary restraining order against Daniels in private arbitration, where the contract says any disputes about the arrangement must be heard.
When in January, on the same day as her 13th wedding anniversary, Melania canceled plans to meet Trump in Davos for an economic summit, it stoked rumors that Daniels had driven a wedge between the two.