China is pushing the U.S. government to roll back national-security restrictions on Chinese deals in the U.S., dangling the prospect of a massive investment package as part of a proposal that would upend a decade of policy.

In addition, Chinese President Xi Jinping’s negotiators want the U.S. to lower tariffs on imported inputs used by any Chinese factories built in the U.S., according to people familiar with the matter, who asked not to be identified discussing private deliberations.

The proposals were raised during trade talks in Madrid last month, the people said. During those meetings, the two sides reached a framework deal to keep Chinese social-media giant TikTok operating in the U.S., despite national security concerns raised by American lawmakers.