Cohen, who is under criminal investigation for possible bank fraud and campaign finance violations, has argued that material seized in the raids could contain privileged information and needs to be reviewed before federal prosecutors have a chance to scrutinize it.
Daniels is expected to appear at Monday's hearing.
After the Federal Bureau of Investigation conducted a raid on Cohen's Office, Trump took Twitter to convey his dismay.
"The government is in possession of all of Mr. Cohen's data, including materials protected by the attorney-client privilege, in a classic example of overreach beyond what it would be entitled to under the Fourth Amendment", Cohen lawyer Todd Harrison wrote.
Avenatti was referring to Trump's embattled lawyer, Michael Cohen, who is now under investigation.
It also emerged Cohen facilitated a $1.6 million payment to a former Playboy model who said she became pregnant from a relationship with Broidy, who was the deputy chair of the Republican National Committee until he resigned Friday when the payment became public.
The raids were based partly on a referral by the Office of Special Counsel, Robert Mueller who is investigating possible collusion between Trump's 2016 presidential campaign and Russian Federation, according to court filings.
The request comes after Cohen's home, hotel room, and office were raided by F.B.I. agents on April 9.
Failing that, Cohen is asking that a so-called special master judge be named to review the materials, to avoid privileged documents from being seen by the prosecution.
In them, they found that Cohen had done "little to no legal work, and that zero emails were exchanged with President Trump".
Judge Wood said that if Cohen wanted the court to declare that some of his files were protected because of attorney confidentiality rules, he would have to divulge the name of his clients.
Prosecutors indicated in court filings Friday that Cohen has been under criminal investigation for months by the US attorney in Manhattan and that a grand jury has been hearing evidence in the case.
In a court filing on Sunday night, lawyers for Trump asked to be allowed to review documents that in any way relate to the president.
They appeared in court on Friday, as did three lawyers for Trump, who at this time is not a party in the case.
The president's lawyer had already jumped into the fray Friday, saying Trump also is anxious that his rights to attorney-client protections could be violated by the seizure.
Further adding to the drama, Stephanie Clifford, a pornographic film actor known as Stormy Daniels who alleges that she had a sexual encounter with Trump and was paid $130,000 by Cohen to keep quiet, intends to attend Monday's hearing, according to her lawyer. They say their investigation into Cohen has revealed "evidence of a lack of truthfulness" so he couldn't be trusted to voluntarily review the documents - thus the need for the warrant. All lawyers are deflated and concerned!'
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