Army chief Abdel Fattah al-Sisi met Islamist leaders overnight to try to mediate a solution with Morsi supporters who have staged two major sit-ins for more than a month demanding his reinstatement.
Sisi "met with several representatives of the Islamist movements... And stressed that there are opportunities for a peaceful solution to the crisis provided all sides reject violence," army spokesperson Colonel Ahmed Aly said in a statement.
Among those attending the talks with Sisi were influential Salafist clerics Sheikh Mohammed Hassan and Mohammed Abdel Salam, who just days ago was addressing pro-Morsi supporters from the stage at the Rabaa al-Adawiya sit-in.
Sisi's meetings come after days of intense diplomatic activity that saw visits by US Deputy Secretary of State William Burns, EU foreign policy chief Catherine Ashton and an African Union delegation lead by former Mali president Alpha Oumar Konare.
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Konare said his team had met "with all parties it wanted to meet... In complete freedom" during their week-long visit.
Authorities have repeatedly called on them to go home, promising them that a safe exit would allow the Morsi's Muslim Brotherhood to return to political life.
After meeting Burns, the Brotherhood's political arm stressed its continued commitment to "legitimacy, which stipulates the return of the president, the constitution and the Shura Council," or upper house of parliament.
Burns's visit, which followed trips by Ashton and German Foreign Minister Guido Westerwelle, was the latest move in a diplomatic drive to break the deadlock.
"We affirm our welcome of any political solutions proposed on the basis of constitutional legitimacy and rejection of the coup," said the Freedom and Justice Party statement.
Burns also met foreign minister Nabil Fahmy in a bid to broker a compromise between the two sides.