Trump trial: Cohen faces Trump team grilling over past lies, recollections

Michael Cohen returns to the witness stand this morning, where the former Trump attorney is expected to face a full day of cross-examination.

Cohen, under direct examination earlier this week, described in-person meetings and phone calls with Donald Trump, who he said joined into an agreement with tabloid publisher David Pecker to catch and kill negative stories ahead of the 2016 election; approved a $130,000 hush money payment from Cohen to Stormy Daniels; and signed off on an arrangement to reimburse Cohen in 2017 using what prosecutors say were falsified invoices. Trump has denied all wrongdoing.

Defense attorneys are expected to question Cohen's credibility based on his past testimony and previous statements he has made in interviews, podcast and books.

Former President Trump has asked New York's highest court to rescind the limited gag order that prevents him from commenting publicly about witnesses, jurors and lawyers in his ongoing criminal trial, according to a new court filing.

The filing is sealed, but is the next step after an intermediate appeals court yesterday upheld the order imposed by trial Judge Juan Merchan.

Trump has frequently attacked the judge, which is permitted, and has called the limited gag order unconstitutional.

In its ruling yesterday, the intermediate appellate court said that Merchan had appropriately balanced Trump's free speech rights with the court's need to control the trial.

There was no immediate comment from the Manhattan DA's office.

-ABC News' Katherine Faulders contributed to this report

According to a transcript of the day's court proceedings released this evening, Donald Trump and his attorneys have not yet decided if the former president will testify at his trial.

The transcript included a private sidebar conference held this morning, during which Judge Juan Merchan asked defense lawyers about Trump's possible testimony.

"And do you have any indication whether your client is going to testify?" Merchan asked defense attorney Todd Blanche.

"No," Blanche replied.

"No determination yet?" Merchan asked.

"No," Blanche said.

The conversation happened outside of the earshot of reporters and members of the jury.

Speaking to reporters after exiting the courtroom, former President Trump was asked about today's testimony, as well as if he plans to testify during the trial.

"As you know, I'm under a gag order. So I can't really answer those very simple questions that you're asking," Trump said, referring to the order that prohibits him from making public comments about jurors, witnesses and lawyers in the case, but does not keep him from discussing the case itself.

"We'd love to not be in the gag order. I'm the Republican nominee for president. I'm leading in every poll, and I have a gag order."

Recapping his day in court, Trump said, "We had a very, I think, a very good day and important to see what's happening and you'll have to record it because I can't talk about it too much."

"We had a very good day. I think we're exposing the scam for what it is," he said.

-ABC News' Kelsey Walsh and Mike Pappano