The Middle East News Agency cited presidential sources, the BBC reported.
ElBaradei, who was awarded the Nobel Peace Prize for his work as head of the International Atomic Energy Agency, leads a coalition of liberal parties in Egypt.
Also Saturday, a court ordered an activist accused of inciting violence against the Muslim Brotherhood released without bail. The release of Ahmed Douma came as clashes between supporters and opponents of deposed President Mohamed Morsi, a member of the Muslim Brotherhood, left dozens dead and hundreds injured, Ahram Online reported.
Douma, detained since April 30, had been convicted on a number of charges, including insulting the president and circulating false news after he and other activists attempted to storm the headquarters of the Muslim Brotherhood. He was sentenced in June to six months in prison.
An anti-Morsi campaign Friday called on Egyptians to gather at squares and main streets throughout the country to "protect their revolutionary legitimacy." The campaign asked people to protest until Sunday, when "the greatest rally" is scheduled nationwide.
Tens of thousands of Brotherhood supporters gathered at a Cairo square Friday evening to hear their supreme leader, Mohammed Badie, say, "We shall stay in the squares until we bring President Morsi back to power," the BBC reported.
He pledged Brotherhood protests would remain peaceful. Afterward, pro-Morsi supporters clashed with anti-Morsi protesters on a bridge, resulting in the deaths of four people.
More than 30 people have died in partisan clashes nationwide, the Ministry of Health reported. More than 400 have been injured, Ahram Online said.
State media reported Saturday the Brotherhood's deputy leader had been arrested at his home in Cairo.
Authorities say they have warrants to arrest hundreds more members of the group, CNN reported.