Earlier in the day, Russian President Vladimir Putin held a meeting with Fischer in Moscow.
"We discussed the issue of the Syrian conflict in detail. I can note, with certain satisfaction, that Mr. Putin said that there is broad dialogue with the United States on resolving this issue. Russia and the United States are cooperating on this matter, are trying to find a new formula for achieving stability in Syria together," the Austrian leader said after the meeting.
Syria has been in a state of civil war since 2011, with the country’s government fighting multiple opposition factions and extremists.
Moscow and Washington mediated an agreement on the Syrian truce in February. The ceasefire took effect on February 27 and has been generally holding across the country despite reports of minor violations.