The Russian President said military success in Syria allows a large-scale political process leading to withdraw of foreign forces and reconstruction of country.
For its part, Russia's Kremlin manifested that Assad had expressed his willingness to Putin to start a political compromise to solve the Syrian issue, following a meeting with Russian defense and foreign ministers.
The two leaders in the Black Sea resort of Sochi.
In remarks cited by the Kremlin, Putin congratulated the Syrian leader on what he said were significant successes on the battlefield achieved by the Syrian military.
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"The next task, of course, is the economic recovery and humanitarian aid for those people in a hard situation", Putin added.
Syria has been locked in a vicious civil war since 2011 when the Bashar al-Assad regime cracked down on pro-democracy protests with unexpected ferocity. Its military support not only ensured the survival of Assad's regime but also changed the course of the war. They will be sent to the United Nations, it is on the basis of the Geneva process.
"We know that will not be easy since there are countries which do not want stability to return to Syria. Owing to efforts taken by your military over the recent time, major moves have been made towards the further strengthening of the constituted authority", the Russian leader told his Syrian counterpart.
A posting on the Syrian presidency's Facebook page said Assad and Putin also discussed economic cooperation and growing investments by Russian companies in Syria.
It said that Russian Federation welcomes and supports this decision based on agreements reached in national dialogue meetings in Sochi.