Prominent Saudi women's rights activist Loujain al-Hathloul has rejected a proposal to secure her release from prison in exchange for a video statement denying reports she was tortured in custody, her family said on Tuesday.

Hathloul, along with at least a dozen other women's rights activists, was arrested more than a year ago as Saudi Arabia ended a ban on women driving cars, which many of the detainees had long campaigned for. Local media tarred them as traitors.

Some of the women appeared in court earlier this year to face charges related to human rights work and contacts with foreign journalists and diplomats, but the trial has not convened in months.

The case has drawn global criticism and provoked anger in European capitals and the U.S. Congress following last year's murder of journalist Jamal Khashoggi by Saudi agents inside the kingdom's Istanbul consulate.

Rights groups say at least three of the women, including University of British Columbia graduate Hathloul, were held in solitary confinement for months and subjected to abuse including electric shocks, flogging, and sexual assault.

Saudi officials have denied torture allegations and said the arrests were made on suspicion of harming Saudi interests and offering support to hostile elements abroad.

A demonstrator from Amnesty International holds a placard outside the Saudi Arabian Embassy in Paris to protest on International Women's Day in March, urging Saudi authorities to release jailed women's rights activists. (Benoit Tessier/REUTERS)

The government communications office did not immediately respond to a request for reaction to the comments by Hathloul's family on Tuesday about a release deal offer.

In March, she and some of the other women described in a closed court session the mistreatment they had experienced, sources familiar with the matter said at the time.

Hathloul's siblings allege that Saud al-Qahtani, a senior adviser to Crown Prince Mohammed bin Salman — who has also been implicated in Khashoggi's murder — was present during some of the torture sessions and threatened to rape and kill her.

The Saudi public prosecutor has said his office investigated the allegations and concluded they were false.

Video not 'a realistic demand': brother

Hathloul, 30, initially agreed to sign a document denying she had been subjected to torture and harassment, her brother Walid tweeted. The family remained quiet recently in hopes the case could be resolved privately.

But in a recent encounter, Walid said, state security asked her to make the denial in a video a part of a release deal.

"Asking to appear on video and to deny the torture doesn't sound like a realistic demand," he added.

The family said she rejected that offer.

The <a href="https://twitter.com/hashtag/Saudi?src=hash&ref_src=twsrc%5Etfw">#Saudi</a> State Security has visited my sister in prison recently. They have asked her to sign on a document where she will appear on video to deny the torture and harassment. That was part of a deal to release her. —@WalidAlhathloul

Our initial agreement with the State Security was that she will sign the document in which she will deny she had been tortured. And that’s why we remained silent in the past few weeks.<br><br>Asking to appear on a video and to deny the torture doesn’t sound like a realistic demand. —@WalidAlhathloul

This was in a series of 3 visits from the State Security to Loujain:<br><br>First and second visits were about drafting the statement where she will ONLY sign a statement to deny that she had been tortured. —@WalidAlhathloul

The third visit was surprising. The same 2 guys from the state security came with an additional request to appear on video where she denies any of the torture took place. —@WalidAlhathloul

Some of the charges against the women on trial fall under the kingdom's cybercrime law stipulating jail sentences of up to five years, according to rights groups.

Those against Hathloul include communicating with 15 to 20 foreign journalists in Saudi Arabia, attempting to apply for a job at the United Nations, and attending digital privacy training, her brother has said.

Scores of other activists, intellectuals and clerics have been arrested separately in the past two years in an apparent bid to stamp out possible opposition, even as the crown prince pushes to open up Saudi society and end the economy's dependence on oil.