New York, New York - Ousted Venezuelan president Nicolás Maduro cut a relaxed figure Thursday as he returned to a federal court in New York for his second appearance since his capture by US forces in an extraordinary nighttime raid.

During the one-hour hearing, the judge indicated he would not dismiss the case over Maduro and his wife's apparent inability to afford their legal bill without aid from the Venezuelan government.

The former leader (63) and wife Cilia Flores have been held in a Brooklyn jail for almost three months since American commandos snatched the pair from their compound in Caracas in early January.

The stunning operation deposed the strongman who had led Venezuela since 2013 and has since forced the oil-rich country to largely bend to the will of US President Donald Trump.

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Maduro has declared himself a "prisoner of war" and pleaded not guilty to the four counts he faces: "narco-terrorism" conspiracy; cocaine importation conspiracy; possession of machine guns and destructive devices; and conspiracy to possess machine guns and destructive devices.

Wearing a gray prison uniform, glasses, and a headset for translation, he jotted down notes throughout the hearing and occasionally spoke to his lawyer through an interpreter, an AFP journalist saw.

Maduro, who smiled as he entered the room, did not address the court during the proceedings, which focused on arguments over who would pay his and Flores' legal fees.

US sanctions prevent the Venezuelan government from footing the bill, and Maduro and Flores say they do not have sufficient personal funds to cover it themselves.

"I'm not going to dismiss the case," said Judge Alvin Hellerstein, seemingly rebuffing a request by Maduro's lawyer, though he did not issue a formal decision.

Hellerstein also did not immediately set the next court date.

Before the hearing, Trump said that "other cases are going to be brought" against Maduro, without giving more details.

Several backers and opponents of Maduro gathered outside the Manhattan courthouse, including some with a large inflatable doll depicting him in an orange prison jumpsuit with handcuffs.

At one point, a scuffle broke out between protesters before police intervened and escorted a man from the area.

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Hundreds of people also rallied in the Venezuelan capital Caracas during the hearing, including Maduro's son, Nicolas Maduro Guerra.

"We trust in the legal system of the United States," he told AFP, but said the "kidnapping" of his father undermines the legitimacy of the case.

Detained in Brooklyn's Metropolitan Detention Center, a federal prison known for unsanitary conditions, Maduro is reportedly alone in a cell with no access to the internet or newspapers.

A source close to the Venezuelan government said he reads the Bible and is referred to as "president" by some of his fellow detainees.

He is only allowed to communicate by phone with his family and lawyers for a maximum of 15 minutes per call, the source added.