Fighting also raged in others parts of Sudan including the western Darfur region and in the eastern border state of Kassala.
The Saturday killing of three staff from the World Food Programme in North Darfur clashes prompted the agency to suspend all operations in the impoverished country.
Medics have pleaded for safe corridors for ambulances and a ceasefire to treat the victims because the streets are too dangerous for transporting casualties to hospital.
The RSF was created under Bashir in 2013, emerging from the Janjaweed militia that his government unleashed against non-Arab ethnic minorities in Darfur a decade earlier, drawing accusations of war crimes.
The latest violence sparked by the two generals has reflected the deep-seated divisions between the regular army and the RSF.
Despite the wide calls for a ceasefire, the two generals appeared in no mood for talks.
Burhan, who rose through the ranks under the three-decade rule of now-jailed Bashir, has said the coup was "necessary" to include more factions in politics.
Daglo later called the coup a "mistake" that failed to bring about change and reinvigorated remnants of Bashir's regime ousted by the army in 2019 following mass protests.
