CAIRO: Nobel Peace laureate Mohamed ElBaradei tops the list of candidates for premier to lead Egypt out of its crisis, the presidency said Saturday, after bloodshed followed the ouster of the country's first freely elected head of state.

Supporters of the overthrown Islamist Mohamed Morsi called for further protests as an advisor to his interim successor said the new rulers extended an olive branch to the Islamists.

The Tamarod movement, which engineered mass protests culminating in Morsi's overthrow by the military on Wednesday, said ElBaradei had been appointed after talks with Egypt's new caretaker leader.

State news agency MENA and other official sources confirmed the appointment, but a presidential aide said later that a prime minister had yet to be named, while adding ElBaradei “is the logical choice”.

“ElBaradei is the strongest candidate,” presidential advisor and spokesman Ahmed al-Muslimani told AFP." He is on top of the list of names” under discussion, he said.

A source close to the negotiations told AFP that various camps that agreed to the military's roadmap for a political transition were still trying to convince the Salafist Al-Nour Party to back ElBaradei.

The initial reports of ElBaradei's appointment had been greeted with cheers in Cairo's Tahrir Square and Ittihadiya presidential palace, where opponents of Morsi set off firecrackers, frantically waved Egyptian flags and honked car horns.

However they came as the Muslim Brotherhood staged a new show of force to demand the military restore Morsi to power, after 24 hours of violence that left 37 people dead and over 1,400 injured. Many of the Islamist movement's senior leaders have been arrested.

In a press conference, Muslimani said “we extend our hand to the Muslim Brotherhood.” ”I think the Muslim Brotherhood has many opportunities in the coming period, to enter elections,” he said.

Tamarod, the grassroots protest movement which has called for demonstrations on Sunday to counter the Islamists, had nominated ElBaradei to represent it in negotiations with the military. ElBaradei, 71, won the Nobel Peace Prize in 2005 for his work as the head of the International Atomic Energy Agency.

He returned to Egypt in 2010 and became a prominent opponent of Hosni Mubarak in the lead-up to the 2011 uprising that overthrew the veteran strongman.

Tears flowed freely Saturday as thousands of Morsi supporters mourned four members of the movement killed during protests which the Brotherhood called to reject Morsi's ouster.

Four demonstrators were killed in shoot-outs between soldiers and Morsi supporters outside the Republican Guard headquarters on Friday, MENA reported.

The imam told mourners gathered outside Cairo's Rabaa al-Adawiya mosque, where the Islamists have camped for the past 10 days, to pray for the “martyrs of legitimacy”.

Morsi, who has been in detention since overnight on Wednesday, had issued a defiant call for his supporters to protect his elected “legitimacy”, in a recorded speech aired hours after his removal.

Meanwhile, influential Qatar-based Muslim cleric Yusuf al-Qaradawi, who was born in Egypt, issued a fatwa urging Egyptians to support Morsi.

Friday's violence erupted despite talk of peaceful protests.

Residents of one Cairo district reported that bearded Islamists armed with machineguns, machetes and sticks clashed with them as they passed through their district overnight.

“The Brotherhood attacked the area with all kinds of weapons,” said Mohammed Yehya, who said he lost three friends in the mayhem.

In response, a spokesman for the Brotherhood's Freedom and Justice Party told AFP: “Not everyone with a beard belongs to the Muslim Brotherhood.”The bloodletting continued on Saturday with gunmen killing a Coptic Christian priest in the restive north of the Sinai peninsula, security souces said.

That came after armed Morsi supporters stormed the provincial headquarters in the Sinai town of El-Arish and raised the black banner of Al-Qaeda-inspired militants on Friday night, an AFP correspondent reported.

Morsi's single year of turbulent rule was marked by accusations that he failed the 2011 revolution by concentrating power in Brotherhood hands and letting the economy nosedive.

President Barack Obama meanwhile insisted the United States was “not aligned” with any political party or group in Egypt following Morsi's ouster.

Obama, who spoke with members of his National Security Council via conference call about the situation in Egypt, “condemned the ongoing violence across Egypt and expressed concern over the continued political polarization,”according to a White House statement.

“The United States categorically rejects the false claims propagated by some in Egypt that we are working with specific political parties or movements to dictate how Egypt's transition should proceed,” it said.

“The future path of Egypt can only be determined by the Egyptian people.”