Annan was seeking an immediate cease-fire to allow for humanitarian aid and the start of a dialogue between all parties on a political solution. Syrian President Bashar Assad told Annan that a political solution is impossible as long as terrorist groups threaten Syria.
His regime blames the uprising on armed groups acting out a foreign conspiracy. While opposition leaders the thousands killed by government forces were protesting peacefully.
Meanwhile, activists say Syrian forces targeted other Homs neighborhoods Sunday with shells and rocket-propelled grenades.
The Associated Press contributed to this report.