Protests have been rocking Sudan for almost four months, culminating in the toppling of president Omar al-Bashir last week after three decades of iron-fisted rule.
The protesters, numbering about 5,000 with more arriving, chanted "Freedom, freedom" and "Revolution, revolution", and appealed to the army to protect them.
The SPA issued its demands hours after protesters blocked an attempt to break up a sit-in outside the Defense Ministry that has continued despite Bashir's departure, a Reuters witness said.
"We call on our people to come immediately to the sit-in area to protect our revolution".
On Thursday, the military council removed Bashir after months of demonstrations against his three-decade rule.
The council has vowed to reform the country's intelligence service and refrain from dispersing protesters.
Sudanese demonstrators march with national flags as they gather during a rally demanding a civilian body to lead the transition to democracy, outside the army headquarters in the Sudanese capital Khartoum on Saturday, April 13, 2019.
The AU echoed the protesters' demands, calling the military intervention a "coup d'Etat, which (the PSC) strongly condemns".
But in a press conference, the council's spokesman did not respond to the protesters' latest demands.
On Monday the military council said it was restructuring the joint forces command, appointing a new chief of staff for the army and a deputy.
During the meeting, Daqlo briefed the US envoy on developments in Sudan and the reasons behind the formation of the transitional military council, the council said in a statement.
He also pledged that individuals implicated in killing protesters would face justice and that protesters detained under a state of emergency imposed by Bashir during his final weeks in power would be freed.
Dagalo, known by his nickname Hemedti, heads Sudan's Rapid Support Forces (RSF), which human rights groups have accused of widespread abuses in the western region of Darfur.
"This must be done credibly and swiftly, with protest leaders, political opposition, civil society organisations, and all relevant elements of society, including women", the embassies of the three countries said in a statement.
Talks between protest leaders and Sudan's new rulers were followed on Sunday by a meeting between Washington's top envoy to Khartoum, Steven Koutsis, and the military council's deputy.
He did however announce the appointment of a new NISS head after the intelligence agency's chief Salih Ghosh resigned on Saturday.
The SPA also demanded the confiscation of properties belonging to al-Bashir's National Congress Party and the release of soldiers who sided with their "revolution".
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