The National Congress Party, under former president Omar Al Bashir, had ruled Sudan for 30 years since 1989.
Sudan's army on Tuesday intensified efforts to gain ground in the capital Khartoum in some of the heaviest fighting since the start of a conflict with a rival military faction that has caused a growing humanitarian crisis.
They have been suffering from lack of food and medicine for weeks, leading to some of them losing two-thirds of their body weight.
"The UAE emphasised the importance of resuming talks among various Sudanese forces to realise the aspirations of the brotherly people of Sudan," said the statement.
Tensions between Arab and African tribes in Darfur date back to 2003, when ethnic minority rebels took up arms against the then Arab-dominated government of since-ousted president Omar Al Bashir, accusing it of marginalising the region economically and politically.
"In southern Khartoum we are living in terror of violent bombardment, the sound of anti-aircraft guns and power cuts," said 34-year-old resident Sara Hassan by phone. "We are in real hell."
"The truce made us relax a bit, but the war and fear are returning today," said Musab Saleh, a 38-year-old resident of southern Khartoum.
The UAE stressed the obligation to protect diplomatic buildings and residences according to the norms and charters that govern and regulate diplomatic work.
The RSF, which accused the army of attacking it first, also said they had seized the airports in the northern city of Merowe and in El-Obeid in the west.