The NSF also said that it would not engage in the dialogue unless the recent bloodshed is stopped and investigated as the opposition was infuriated by a video of a protester being beaten up by central security forces' truncheons and accused Morsi of ordering a harsh crackdown on demonstrators.
Observers believe the withdrawal of the NSF has negatively affected its popularity.
"A recent survey showed that over 80 percent of the Egyptians are unhappy with the NSF," said Ahmed Qandil, a political expert at al-Ahram Center for Political and Strategic Studies.
"Egyptians now mistrust the political scene in general," Qandil told Xinhua, "So both the state leadership and the opposition must resort to talks to resolve the outstanding issues and boost their popularity."
Some protesters attempted Monday to break into police stations in Gharbiya governorate's city of Tanta, some 80 km away from the capital Cairo, over the death of a political activist.
Egypt's relative calm may not last for long, Qandil concluded, adding that "It all depends on the willingness of rival political forces to engage in real dialogue and reach consensus. Otherwise, bloody scene could be seen once again."
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