The developments were the latest in Yemen's escalating crisis in the wake of the power grab by the Shiite rebels known as the Houthis.
The rebels' expansion has threatened to fracture this impoverished Arabian Peninsula country along sectarian and regional fault lines.
The Houthis swept into Sanaa last September, after battling their way from the northern Shiite heartland and imposing control over at least nine provinces.
Today's protesters in Sanaa chanted in support of President Abed Rabbo Mansour Hadi, who over the weekend fled the capital, where he had been held under house arrest by the Houthis.
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Hadi arrived in the southern port city of Aden and from there, called on the Houthis to leave the capital and announced yesterday that he is still the legitimate leader of Yemen.
The United Nations has tried to resolve the crisis and has held several rounds of talks with the main political parties, with apparently no headway. Seven key parties sent representatives today to Aden for a meeting with Hadi, according to Ahmed Lakaz, spokesman of the Unionist Gathering Party.
The officials were ordered back to work today, but they declined.
Bahah and the ministers were placed under house arrest by the rebels in January. They resigned en masse in a gesture of protest and the Houthis subsequently declared they have taken over the country.
Later today, Al-Masirah TV said that 17 Cabinet members had agreed to resume their posts. The report could not be immediately confirmed and none of the Cabinet ministers could be reached for comment.