Syria's ambassador to the United Nations, Bashar al- Jaafari, was heading the government delegation for the four days of meetings with members of the domestic "tolerated" opposition, the National Coordination Committee for Democratic Change (NCCDC).
The talks were to begin at 1430 IST, a source close to the negotiations told Russia's Interfax news agency.
But the main Western-backed exiled Syrian opposition National Coalition stayed away, and another leading domestic opposition activist remains under a travel ban from Damascus.
They follow a similar round of meetings between the government and officially tolerated opposition in Moscow in late January that failed to make any concrete progress towards resolving the deep-rooted conflict.
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Ahead of the meeting a source close to Syrian government delegation told AFP that the delegations "will only discuss 'soft' subjects on which agreement might be found."
"You cannot say that these consultations will have any major results," Russian Middle East expert Boris Dolgov told AFP.
"It is just one step, albeit important, on the path towards stopping the crisis in Syria."
Dolgov said that by hosting the talks Moscow -- a firm backer of Assad's regime -- was looking to boost its standing as a potential mediator while also seeking to curb the threat that radical groups such as Islamic State pose to its national security.