Part of the meeting was broadcast on Georgia's private Imedi television. Shevardnadze reportedly accepted the offer.
A leader of Georgia's ruling National Movement, Zviad Dzidziguri, criticized Annan's reported initiative, saying Shevardnadze's becoming a UN adviser would undermine the reputation of the world organization.
The National Movement spearheaded the street protests that forced Shevardnadze to step down, making way for an overwhelming victory for that party in January elections.
(Prime News/Civil Georgia/Novosti Gruziya)