The Berlin-based European Saudi Organisation for Human Rights (EOSHR) highlighted Ghomgham's case in a series of emails earlier this week, calling it a "precedent" and saying that the Saudi prosecution was seeking the activist's beheading. Last week, the organisation released a statement that suggested 51 people were awaiting execution in the country.
Ghomgham and the other four activists are facing trial in connection with demonstrations in the Shia-populated parts of Eastern Province that began in 2011. The demonstrations were held to protest against the discrimination that Shia Muslim citizens face in the predominantly Sunni Muslim kingdom.
According to Human Rights Watch, Ghomgham and her husband were arrested on December 6, 2015, and have been held in prison ever since.
The charges that she and her fellow activists face include "participating in protests in the Qatif region," "incitement to protest" and "chanting slogans hostile to the regime," the rights group said.
Apart from the cases related to protests in the Shia-majority areas of Eastern Province, the Saudi Government faces growing condemnation for a crackdown on dissidents, including women's rights advocates.
Among the women recently arrested was Nassima al-Sadah, a Shia Muslim from the eastern city of Qatif, who had tried unsuccessfully to run for local elections there and had sued to lift the kingdom's long-standing ban on female drivers.
According to Amnesty International, Saudi Arabia uses the death penalty more than almost any other country in the world, with 146 executions reportedly carried out last year. Only China and Iran were thought to have executed more people in 2017.
Under the leadership of Crown Prince Mohammed bin Salman, Saudi Arabia has sought to bolster its international image with splashy business events and diplomatic outreach.
However, the country has bristled at criticism of its handling of human rights, resulting in a diplomatic spat with Canada earlier this month after the country's foreign minister tweeted a message in Arabic that expressed alarm over the detention of a women's rights activist who had relatives in Canada.
Asked about Ghomgham's trial, the office of Canadian Foreign Minister Chrystia Freeland told the Globe and Mail newspaper that "Canada is extremely concerned by the arrests of women's rights activists" and that these concerns have been raised by with the Saudi Government.