HONG KONG — After business groups had criticized a plan to ease rendition of fugitives between Hong Kong and jurisdictions including mainland China, the Hong Kong government pulled back, a little.

Last week, the Hong Kong authorities dropped from their proposal nine economic crimes that could prompt an extradition.

But on Wednesday, the government of Chief Executive Carrie Lam showed that it has no intention of stopping its broader push to overhaul its extradition laws, and introduced legislation intended to help Hong Kong send fugitives to jurisdictions that it does not have rendition agreements with.

John Lee, the Hong Kong secretary for security, said that the legislation would “block loopholes in the overall system of cooperation on criminal justice.”