The crisis in Syria began nearly 15 months ago, when a tough government crackdown on protesters spiraled out of control and spawned a national anti-government uprising. The United Nations for months has said more than 9,000 people have died in Syria. But death counts from opposition groups range from more than 12,000 to more than 14,000. Tens of thousands have been displaced.
The opposition Syrian Observatory for Human Rights said 33 civilians and 61 government forces were killed across Syria on Saturday, and two rebel soldiers died.
CNN cannot independently confirm reports of casualties or violence from Syria because the government restricts access to foreign journalists.
Over the border in the Lebanese city of Tripoli, fighting between pro- and anti-Syrian regime gunmen on Saturday left 12 dead and approximately 50 injured, according to the state-run National News Agency.
The clashes continued early Sunday morning, killing at least one person, NNA said. But hours later, residents said the situation in Tripoli was quiet.
The sectarian violence in Tripoli mirrors the tensions in Syria between Sunnis, who make up the majority of the Syrian opposition, and Alawites, who are dominant in al-Assad's government.
Annan made reference Saturday to such flare-ups in neighboring countries, after many Syrian civilians have fled to escape violence.