Moscow hopes the constitutional declaration issued by the interim president will ease tensions in Egypt.
However, the recommendation that tourists not leave the resort zones remains in force, the Russian Foreign Ministry said in a commentary.
"We hope the political process will resume, based on the constitutional declaration issued on July 8, which will ease tensions and help deal with the more practical aspects of further political reform in a context of national accord and unity," it said.
The Foreign Ministry also said that protests have spilt into the resort zone, including Hurghada.
"The recommendation for Russian citizens now in Egypt to stay away from venues of mass protests and for tourists to refrain from traveling beyond resort zones, remains in force," the Foreign Ministry said.
Supporters and opponents of the deposed president Mohamed Morsi continue to stage massive rallies in Cairo, which have led to numerous casualties during clashes with the police, earlier reports said.
"In this dramatic setting we again call on all political forces in Egypt to demonstrate restraint and responsibility for the fate of ordinary citizens, as well as the determination to solve all problems using democratic methods, rejecting violence and be guided by the interests of all social groups and faiths in Egyptian society," the Russian Foreign Ministry said.
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