The international envoy on Syria, Lakhdar Brahimi, has met President Bashar al-Assad, on the second day of a visit to Damascus.
Mr Brahimi said they discussed possible steps forward but he did not give details.
Mr Assad said he supports any effort that preserved Syria's sovereignty.
It is the third visit to Damascus by Mr Brahimi since he was appointed joint UN-Arab League envoy to Syria in August.
However, the BBC reports he has made little progress on a peace process so far and it is unclear what new ideas he may be bringing.
Rebels have been fighting the government for 21 months. Opposition groups say more than 44,000 people have been killed.