Treasury Secretary Scott Bessent said on Sunday that the United States had made “substantial progress” in talks with China after a weekend of meetings in Geneva, and that additional details would be announced on Monday.

Any indication of a trade truce between the world’s two largest economies would lift financial markets and ease concerns among companies, investors and economists that the global economy was poised for a sharp downturn.

Although there were no immediate details about an agreement, Jamieson Greer, the U.S. trade representative, who joined Mr. Bessent in the negotiations, suggested that some form of a “deal” had been reached that addressed the Trump administration’s national security concerns about China’s trade practices. But Mr. Greer did not say whether the two nations had agreed to drop any of the punishing tariffs that have been imposed over the past months.

“It’s important to understand how quickly we were able to come to agreement, which reflects that perhaps the differences were not so large as maybe thought,” Mr. Greer said after the talks, noting that the U.S. tariffs were a response to unbalanced trade between the countries, which the Trump administration viewed as a national emergency. “We’re confident that the deal we struck with our Chinese partners will help us work toward resolving that national emergency.”

The Chinese government did not immediately provide a statement on the negotiations.

The comments from Mr. Trump’s top economic officials came after two days of marathon negotiations between the two countries. The talks were an attempt to ease tensions that have flared this year after Mr. Trump initiated a trade war by ratcheting up tariffs on Chinese imports.

The talks have major implications for the global economy, which has been rocked by the tariffs that the United States and China have imposed on each other in recent months. Mr. Trump has imposed a minimum tariff of 145 percent on all Chinese imports, while China has hit American products with a 125 percent import tax.