Putin said at the start of his meeting with Field Marshal Abdel-Fattah el-Sissi that he's aware of his intention to seek the presidency.
"I know that you have made a decision to run for president," Putin said, according to Russian news reports. "That's a very responsible decision: to undertake such a mission for the fate of the Egyptian people. On my own part, and on behalf of the Russian people I wish you success."
El-Sissi's visit to Moscow, his first trip abroad since Morsi's ouster, comes amid reports of a USD 2 billion arms deal with Russia to be funded mainly by Saudi Arabia and the UAE, which is part of Egypt's shift to cut reliance on the US.
The visit also marks an attempt by Moscow to expand its influence in Egypt at a time when Egyptian-US relations have soured in the aftermath of Morsi's ouster.
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Russia's Foreign Minister Sergey Lavrov said after meeting with his Egyptian counterpart, Nabil Fahmy, that Russia and Egypt agreed to "speed up the preparation of documents that would give an additional impulse to our military and military-technical cooperation."
Russia's Defence Minister Sergei Shoigu, who met separately with el-Sissi, said the need to strengthen military cooperation between Russia and Egypt stems from "common challenges and threats," but mainly terrorism.
"We also discussed the ways of expanding cooperation between our air forces and navies," Shoigu said.
Neither Lavrov nor Shoigu mentioned any specifics related to weapons sales, but Russian media reported last fall that Egypt was interested in acquiring Russian air defence missiles, MiG-29 fighter jets, helicopters and other weapons.
The visit comes nearly three months after Lavrov and Shoigu visited Cairo, the fact that Fahmy said reflects both countries' interest in expanding their cooperation.