"The liberation of Aleppo from radical elements is a very important part of the normalisation in Syria, and I hope, for the region overall," Putin told defence minister Sergei Shoigu in a meeting, Russian news agencies reported.
The Syrian army said late yesterday that it had retaken full control of Aleppo, scoring its biggest victory against opposition forces since the civil war erupted in 2011.
The Kremlin strongman said that after the ouster of rebels from Aleppo, Moscow will now look to end fighting across the country.
"In any case, we will strive toward this."
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Moscow has been conducting a bombing campaign in Syria in support of long-time ally President Bashar al-Assad since September 2015.
Russia forged a deal with Turkey - which supports groups seeking to topple Assad - that saw rebel fighters and civilians leave Aleppo.
Shoigu said today that some 34,000 people had been evacuated from rebel-held eastern Aleppo since December 15.
Russia's bombardment of Aleppo saw the West levelling accusations of war crimes that stung the Kremlin and further strained its fragile ties with the West.
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