US Secretary of State Condoleezza Rice has arrived in Tbilisi for talks with Georgian President Mikhail Saakashvili, BBC reported.
Her trip - a show of US support - comes a week after fighting began between Russian and Georgian forces over the breakaway region of South Ossetia.
Ms Rice will present Mr Saakashvili with a ceasefire deal, but he says he will need a closer look before signing.
A Russian general said there had been no fighting on Friday and that Georgian and Russian troops were pulling back.
Russian deputy chief of staff Gen Anatoly Nogovitsyn also told a news conference in Moscow that the signature of a missile defence deal between the US and Poland had worsened already tense relations with the US.
German Chancellor Angela Merkel will also seek a peaceful end to the conflict when she meets Russian President Dmitry Medvedev in the Black Sea resort of Sochi on Friday.
It is thought she will urge Mr Medvedev to adopt a less confrontational approach, and to refrain from questioning Georgia's territorial integrity.