HONG KONG — When Hong Kong’s chief executive, Carrie Lam, said on Saturday that she was suspending an unpopular bill to allow extraditions to mainland China, she expressed hope that her action would restore peace and order in the city, which has been convulsed by demonstrations.

But for most of the bill’s opponents, Mrs. Lam’s promise to indefinitely postpone the legislation was insufficient, signaling that the fight was not over for the embattled leader and foreshadowing more upheaval in the semiautonomous territory, where many still fear the bill could extend China’s reach.

Even as Mrs. Lam spoke on Saturday, new calls were being issued for a peaceful demonstration on Sunday. The previous Sunday, more than a million people, according to protest leaders, from the young to the old, filled up Hong Kong’s streets in one of the city’s largest demonstrations ever.

[Update: Protestors return to Hong Kong streets, rejecting Carrie Lam’s apology.]

“The Civil Human Rights Front is very disappointed and angry about what she has said, because we demanded the withdrawal of the bill, not a suspension,” said Bonnie Leung, the spokeswoman for the rights group.