BEIJING — The US and China have pledged to stabilize their tense relationship following US Secretary of State Antony Blinken's two-day visit to Beijing.

Blinken met China's President Xi Jinping for talks on Monday, restarting high-level communications between the rival superpowers.

Xi said they had made progress, while Blinken indicated that both sides were open to further talks.

But the top US diplomat made clear that there remained major differences.

"I stressed that... sustained communication at senior levels is the best way to responsibly manage differences and ensure that competition does not veer into conflict," Blinken told reporters after the 35-minute meeting at the Great Hall of the People on Tiananmen Square.

"I heard the same from my Chinese counterparts," he said. "We both agree on the need to stabilize our relationship."

But Mr Blinken, 61, said he was "clear-eyed" about China and there were "many issues on which we profoundly -- even vehemently -- disagree".

Relations between Beijing and Washington have plummeted in the wake of a Trump-era trade war, Beijing's assertive claims over Taiwan and the shooting down of an alleged Chinese spy balloon over the US earlier this year.

Blinken's visit is the first by a top US diplomat in almost five years.

Discussions between him and Xi included everything from Russia's war in Ukraine and America's fentanyl crisis to Taiwan, North Korea and alleged human rights abuses by China, the US state department said.

And although there were no clear breakthroughs, Xi suggested relations could be moving in a positive direction.

"The two sides have also made progress and reached agreement on some specific issues," he said, in a transcript of his remarks released by the US state department. "This is very good."

The meeting with Xi was not originally on Blinken's schedule and was announced just an hour before it took place.

It would have been widely viewed as a snub had it not happened, however, especially since Microsoft's co-founder Bill Gates met Xi in Beijing earlier this week.

Instead, the Americans will be able to point to the secretary's visit -- which also included meetings with China's top diplomat Wang Yi and Foreign Minister Qin Gang -- as a successful re-engagement with the Chinese government after months of frosty relations.

US President Joe Biden and officials in Washington have said they view the Chinese as rivals and competitors and not adversaries. It is a fine line to walk, however, as the competition -- both militarily and economically -- heats up.

With the meeting, Xi was also sending a message to his own people that his government was reaching out to Washington.

Taiwan is the biggest area of contention between the two countries and the one that has the highest potential of escalating.

China sees self-ruled Taiwan as a breakaway province and Xi has indicated that he wishes to bring Taiwan under Beijing's control during his term in office.

However, Taiwan sees itself as distinct from the Chinese mainland with its own constitution and leaders. US President Joe Biden said last year that the US would defend Taiwan in the event of an attack from China, a move condemned by Beijing.

But on Monday, Blinken again stressed that Washington does not support Taiwan independence, adding that he sought to "disabuse" China of the notion the US is "seeking to economically contain them".

He said China gave some assurances too. It again stressed that it would not supply lethal aid to Russia to use in Ukraine, but Blinken shared concerns about private Chinese companies aiding Russia's military.

However, China knocked back a US proposal to restart communication channels between the countries' militaries — a key objective of the talks.

While the trip yielded no great progress - as was expected - when concluding his news conference, Blinken said he hoped it signaled better communication in the future.

"Progress is hard. It takes time. And it's not the product of one visit, one trip, one conversation," he said. — BBC