White House national security adviser Jake Sullivan met with Chinese Foreign Minister Wang Yi in Malta for 12 hours last weekend, in what both sides have described as "candid, substantive and constructive" talks.

The meeting between Blinken and Han was the latest in a series of high-level talks between U.S. and Chinese officials that could lay the groundwork for a meeting between President Joe Biden and Chinese President Xi Jinping later this year.

"The world expects us to responsibly manage our relationship," Blinken said in brief remarks at the beginning of his meeting with Han. "The United States is committed to doing just that," he added.

"From the perspective of the United States, face to face diplomacy is the best way to deal with areas where we disagree, and also the best way to explore areas of cooperation between us," Blinken said.

Blinken, U.S. Commerce Secretary Gina Raimondo, Treasury Secretary Janet Yellen and Biden climate envoy John Kerry have traveled to China this year to thaw relations and ensure continued communication between the two countries amid tensions that flared after the U.S. military shot down a Chinese surveillance balloon that traveled over the United States.

Biden this month expressed disappointment that Xi had skipped a summit of Group of 20 leaders in India, but said he would "get to see him." The next likely opportunity for Biden to hold talks with Xi is an Asia-Pacific Economic Cooperation summit in San Francisco in November, where U.S. aides for months have hoped to stage such a meeting.

Neither Blinken nor Han in their remarks explicitly mentioned whether such a meeting will materialize.

"Currently, China-U.S. relations face many difficulties and challenges," Han told Blinken, noting that China hoped the U.S. would make efforts to implement the consensus reached by the two countries' leaders and promote the stable development of relations.

"The world needs stable and healthy China-U.S. relations," Han said.

(Reporting by Humeyra Pamuk and Michael Martina; Editing by Sandra Maler)

By Humeyra Pamuk and Michael Martina