BEIJING — United States officials said on Friday that they had made “progress” during a week of trade talks with their Chinese counterparts, but big sticking points remain and the two sides plan to continue negotiations next week in Washington to try to end the trade war.

The United States and China are trying to reach an agreement ahead of a March 2 deadline, when President Trump has threatened to raise tariffs on $200 billion worth of Chinese goods to 25 percent from 10 percent. On Friday, Mr. Trump suggested for the second time in a week that he would push the deadline back if the two sides were edging closer to a deal.

“There is a possibility that I will extend the date,” Mr. Trump said during remarks at the White House, noting the complexity of the negotiations. “I will do that at the same tariffs we are at now; I would not increase the tariffs.”

Mr. Trump said the discussions with Beijing were going “extremely well” but added that the only thing that mattered was whether the two sides could reach a deal that resolved his concerns about China’s trade practices.