Donald Trump's former chief of staff Mark Meadows could become the third person to face a criminal contempt charge for refusing to cooperate with with an investigation into the deadly attack on the US Capitol.

Representative Bennie Thompson, chairman of the House of Representatives panel probing the 6 January attack, said in a letter to Mr Meadows' attorney, George Terwilliger, that Mr Meadows - a former House member - had failed to cooperate with the panel.

"The Select Committee is left with no choice but to advance contempt proceedings and recommend that the body in which Mr Meadows once served refer him for criminal prosecution," Mr Thompson wrote in the letter, which was released by the committee.

Mr Thompson later told reporters he expected the committee to meet next week on whether to cite Mr Meadows for contempt.

"We have every intention to move forward with a contempt citation on Meadows and we'll go from there," he said.

Mr Terwilliger did not immediately respond to a request for comment.

Mr Meadows refused to appear for a deposition scheduled for yesterday, instead filing a lawsuit against House Speaker Nancy Pelosi and the nine members of the Select Committee.

The suit alleges that subpoenas sent to Mr Meadows violate legal protections for senior advisers to a president, and charge the committee with using excessively broad subpoenas to obtain Mr Meadows' mobile telephone data.

"Mr Meadows's flawed lawsuit won't succeed at slowing down the Select Committee's investigation or stopping us from getting the information we're seeking," Mr Thompson and Committee Vice Chair Liz Cheney, a Republican, said in a statement.

The Justice Department, at the House's request, has already brought similar charges against Mr Trump's former chief strategist, Steve Bannon.

The House is also considering similar action against former Justice Department official Jeffrey Clark.

Longtime Trump adviser Roger Stone told the committee that he would not testify, citing his Fifth Amendment right against self-incrimination, his lawyer said.

Mr Meadows told the committee last week that he would hand over some documents and appear for a deposition. He changed his mind by Tuesday.

Mr Thompson said documents were handed over but that Mr Terwilliger also argued that hundreds of emails and text messages are subject to privilege.

On 6 January, Trump supporters stormed the Capitol in a bid to prevent formal congressional certification of the then-president's 2020 election loss to Democrat Joe Biden.

Before the riot, Mr Trump, speaking at a rally, repeated his false claims that the election was stolen from him through widespread voting fraud.

Mr Thompson said documents the committee has received from Mr Meadows' attorney include communications with organisers of that rally and with a member of Congress, who was not identified, about the possibility of replacing some state electors with handpicked candidates to keep Mr Trump in power.

In response, Mr Meadows apparently said: "I love it," according to Mr Thompson's letter.

While more than 250 witnesses have testified to the committee, Mr Trump has urged associates not to cooperate, calling the Democratic-led investigation politically motivated and arguing that his communications are protected by executive privilege.

However many legal experts have said that legal principle does not apply to former presidents.

Mr Thompson has noted that even as the committee and Mr Trump’s attorneys battle in court over executive privilege issues, Mr Meadows disclosed details about circumstances surrounding the 6 January attack, including conversations with Mr Trump, in a new book he is currently promoting.