The documents address the filing Depp's team submitted last week, which request that any forthcoming information discovered during the proceedings, including financial information and witness statements, remain confidential. He also requested that experts and witnesses who testify sign a nondisclosure agreement – and any breaches would cost Heard and her team $100,000 for every infraction.
Heard's team calls their requests "blatant threats."
"[Depp] and his counsel's demand for the execution of these two non-disclosure agreements which impose undue financial hardships and burdens on [Heard] are nothing but blatant threats by [Depp] and are illustrative of his continued attempts to thwart real progress in this case," state the new documents obtained by WHO.
"In reality, it has been, and continues to be Depp who refuses to be forthright with his financial information and has stymied resolution of this case," the documents continue, stating that Depp "has been stonewalling the progress of this case, by refusing to provide the most basic financial documents."
In the papers Depp filed last week, his team claimed that they previously asked Heard to agree to maintain confidentiality, but says she "has inexplicably refused to sign any agreement" to do so.
"Amber's need for financial information to resolve this case is distinct from the public's appetite for celebrity divorce," last week's documents also stated.
Heard's new filing also argues that she is not failing to attend her deposition, as Depp's team has alleged, but that she is leaving for London for work, and willing to do the deposition on a weekend.
"[Heard] is cooperating in full because she wishes to be transparent and has nothing to hide," the new documents state.
The new documents also state that both parties participated in a six-hour voluntary settlement conference with a judge in hopes of resolving all matters between Heard and Depp. While no full resolution was reached, the documents note that some progress was made.
Heard filed for divorce from Depp in May, and later accused the actor of domestic abuse. Depp's lawyer has said Heard is "attempting to secure a premature financial resolution by alleging abuse."