The towns will remain in Serbian hands.
But a visit by reporters to the city, which is in Serbian hands, could not verify the claims.
The dam fell into Serbian hands in 1991 and was retaken by United Nations forces last summer.
"The basic Bosnian demand is that areas where real genocide took place last year should not be allowed to remain in Serbian hands."
Sarajevo residents also complained that places where Muslims had been massacred and a suburb around Sarajevo would apparently remain in Serbian hands.
All the high ground is in Serbian hands.
Belgrade remained in Serbian hands for almost a century.
True, Muslims who once lived in places like this, now in Serbian hands, have been effectively excluded from political roles in their former homes.
Grbavica will remain in Serbian hands until March 19.
Three American soldiers on a border patrol fell into Serbian hands earlier in the week and were taken prisoner.