According to AP report, the two sides expressed willingness to talk but showed little inclination to bend on hardened positions that have sent tensions soaring.?

Blinken met with China's top diplomat Wang Yi for about three hours, according to a U.S. official, but it is still not confirmed if Blinken will meet President Xi Jinping before he departs in the late evening.?

Neither Blinken nor Wang made any comment to reporters as they greeted each other and sat for their discussion.

China's Ministry of Foreign Affairs wrote in a statement that “Wang Yi said that Mr. Secretary of State's trip to Beijing coincides with a critical juncture in China-U.S. relations, and it is necessary to make a choice between dialogue or confrontation, cooperation or conflict,” and blamed the “U.S. side's erroneous perception of China, leading to incorrect policies towards China” for the current “low point” in relations.

It said the U.S. had a responsibility to halt “the spiraling decline of China-U.S. relations to push it back to a healthy and stable track.”

Despite Blinken's presence in China, he and other U.S. officials had played down the prospects for any significant breakthroughs on the most vexing issues facing the planet's two largest economies.

Instead, they have emphasised the importance of the two countries establishing and maintaining better lines of communication.?

The State Department said Blinken “underscored the importance of responsibly managing the competition between the United States and the PRC through open channels of communication to ensure competition does not veer into conflict."

In the first round of talks on Sunday, Blinken met for nearly six hours with Chinese Foreign Minister Qin Gang after which both countries said they had agreed to continue high-level discussions. However, there was no sign that any of the most fractious issues between them were closer to resolution.

The two sides both said Qin had accepted an invitation from Blinken to visit Washington but Beijing made clear that “the China-U.S. relationship is at the lowest point since its establishment.” That sentiment is widely shared by U.S. officials.?

Blinken is the highest-level American official to visit China since President Joe Biden took office and his two-day trip comes after his initial plans to travel to China were postponed in February after the shootdown of a Chinese surveillance balloon over the U.S.?

Biden and Xi had made commitments to improve communications “precisely so that we can make sure we are communicating as clearly as possible to avoid possible misunderstandings and miscommunications,” Blinken said before leaving for Beijing.

His talks could pave the way for a meeting in the coming months between Biden and Xi. Biden said Saturday that he hoped to be able to meet with Xi in the coming months to take up the plethora of differences that divide them.

That long list incudes disagreements ranging from trade to Taiwan, human rights conditions in China and Hong Kong to Chinese military assertiveness in the South China Sea and Russia's war in Ukraine.

In his meetings on Sunday, Blinken also pressed the Chinese to release detained American citizens and to take steps to curb the production and export of fentanyl precursors that are fueling the opioid crisis in the United States.

Xi offered a hint of a possible willingness to reduce tensions Friday, saying in a meeting with Microsoft Corp. co-founder Bill Gates that the United States and China can cooperate to “benefit our two countries.”

Since the cancellation of Blinken's trip in February, there have been some high-level engagements. CIA chief William Burns traveled to China in May, while China's commerce minister traveled to the U.S. And Biden's national security adviser Jake Sullivan met with senior Chinese foreign policy adviser Wang Yi in Vienna in May.

But those have been punctuated by bursts of angry rhetoric from both sides over the Taiwan Strait, their broader intentions in the Indo-Pacific, China's refusal to condemn Russia for its war against Ukraine, and U.S. allegations from Washington that Beijing is attempting to boost its worldwide surveillance capabilities, including in Cuba.