Georgian officials have reportedly ordered the country’s military to cease fire, the first step taken in order to begin talks with Moscow to end the hostilities in South Ossetia, BBC reported.

On the other hand, Russia said that its troops are still fighting and the raids are still under way, Interfax news agency reported. Meanwhile, Georgia said its troops withdrew from the breakaway region and that Russian forces were in control of its capital, Tskhinvali.

There is no report on how many people were killed in the conflict so far, but thousands of civilians have fled the region.

According to Georgian President Mikhail Saakashvili, Russian aircrafts were flying over columns of refugees in cars and dropping bombs in close proximity, BBC reported. Russian fighter jets shelled a military airfield close to the Georgian capital late on Sunday, the AFP news agency reported.

The government in Tbilisi has been trying to contact Moscow in order to discuss a cease fire, Mr Saakashvili added. However, the Russian foreign ministry said that its information does not confirm the statements released by Georgian officials.

"There are indications that exchanges of fire are continuing and the Georgian forces have not been fully withdrawn from the conflict zone," the Russian official said according to Interfax.

The United Nations Security Council met on Sunday to discuss the military conflict in the Georgia’s breakaway region, but it wasn’t able to agree on the wording of a statement calling for a ceasefire.

French Foreign Minister Bernard Kouchner and Finnish Foreign Minister Alexander Stubb were on their way to Georgia on a peace mission.