Syrian state television played images of apartments on the upper floors of a residential building in the tony residential district of Mazzeh that looked like they were hit by rockets, and spoke to a woman who said a government operation flushed out "terrorists" living in the building, Voice of America reported.
The woman, who said she was a resident of the building, said government forces told her "strange" people were using upper floors of the building. State television quoted the woman as saying she heard a noise from her first-floor apartment and locked herself in when shooting began.
An officer with the Free Syrian Army, the rebel forces, told al-Hurrah television they have been fighting government troops in the district where members of President Bashar Assad's government live.
For more than a year, anti-government protesters have been seeking Assad's ouster. Government forces have responded brutally, saying the opposition is made up of terrorist gangs and thugs as part of a foreign conspiracy to topple Assad.
Also Monday, witnesses said dozens of government tanks stormed the eastern city of Deir al-Zor in a move to claim districts held by the Free Syrian Army, VOA said.
Meanwhile, a diplomatic mission sent by U.N.-Arab League special envoy and former U.N. Secretary-General Kofi Annan arrived in Damascus Monday for talks on a monitoring operation to end the bloodshed.