The Trump administration seems poised to conceal details in the case involving Kilmar Abrego Garcia, a man from Maryland acknowledged as “wrongfully deported,” by invoking the state secrets privilege, as indicated by newly released court documents.

U.S. District Judge Paula Xinis issued an order on Wednesday stating that a formal briefing was necessary for the government’s “invocations of privilege, mainly the state secrets and deliberative process privileges,” which were mentioned in a sealed motion for discovery filed by Abrego Garcia’s attorneys on Wednesday.

The Obama-appointed judge demanded that “simultaneous briefs” be submitted to address the “legal and factual bases for the invocation of those privileges,” and scheduled an in-person hearing for May 16, to address “solely the matters raised” about the state secrets and deliberative process privileges.

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Abrego Garcia’s legal team brought up the invocations on Wednesday as they continued to conduct depositions with Trump administration officials. The government has been ordered to turn over documents and other information about the Maryland dad’s March 15 deportation to his lawyers.

Abrego Garcia, 29, was living in the U.S. with protected legal status when he was taken into custody by federal agents and whisked away to a Salvadoran prison known as CECOT, or the Terrorism Confinement Center, according to his attorneys. Xinis has directed the government to facilitate his return and provide daily updates about their progress in getting Abrego Garcia back to the U.S., though their efforts have been lacking, according to the judge.

Attorneys for Abrego Garcia, who is suing the Department of Homeland Security and Secretary Kristi Noem, have accused the DOJ of flouting orders from Xinis and the U.S. Supreme Court.

A three-page filing on April 15 alleged that Trump administration officials have been intentionally misconstruing court directives ever since Abrego Garcia, whose wife and child are both U.S. citizens, was deported in “error” under President Donald Trump’s unprecedented use of the Alien Enemies Act of 1798 (AEA), an 18th-century wartime authority previously invoked only three times, the last of which was during World War II.

The government has refused to divulge the person or persons responsible for authorizing Abrego Garcia’s removal to El Salvador, which Xinis has called “a deliberate evasion of their fundamental discovery obligations.”