Egypt's presidency has said consultations over the appointment of a prime minister are continuing, contradicting earlier statements that liberal politician Mohamed ElBaradei would be named.
State media and officials had said earlier that the 71-year-old Nobel Peace prizewinner and former UN nuclear agency chief would be named interim prime minister, Reuters reports.
But a spokesman for President Adly Mansour said there were several options for the job and the presidency had to take account of opposition to Mr ElBaradei.
The spokesperson mentioned no other candidates and added that there was no set date for the appointment of interim prime minister.
The abrupt change came amid opposition to the appointment by the Nour Party, Egypt's second Islamist force after the Muslim Brotherhood movement of toppled president, Mohammed Morsi.
The Nour Party threatened to withdraw its support for the military-backed overthrow of Mr Morsi.
Mr ElBaradei was an opponent of the former President Hosni Mubarak and of his successor, Mr Morsi, who was overthrown by the army on Wednesday.
More than 30 people died and about 1000 were wounded in Friday's protests by Islamist supporters of the deposed president.
On Saturday pro-Morsi crowds demonstrated again and funerals for those who died have also been taking place.
The Muslim Brotherhood has said its followers would remain on the streets until he is restored to office. It has called for another day of protest on Sunday.