US President Donald Trump has cautioned Taiwan against formally declaring independence from China, BBC reports.

"I'm not looking to have somebody go independent," the US president told Fox News on Friday, at the end of his two-day summit with his Chinese counterpart Xi Jinping in Beijing.

Taiwanese President Lai Ching-te has previously stated that Taiwan does not need to declare formal independence because it already sees itself as a sovereign nation.

The US has long supported Taiwan, including being bound by law to provide it with a means of self-defence, but has frequently had to square this alliance with maintaining a diplomatic relationship with China.

Trump earlier said he had "made no commitment either way" about the self-governing island, which China claims as part of its territory and has not ruled out taking by force.

Washington's established position is that it does not support Taiwanese independence, with continued ties with Beijing being contingent on its acceptance that there is only one Chinese government.

Beijing has been vocal in its dislike of Taiwan's president, who it has previously described as a "troublemaker" and a "destroyer of cross-strait peace".

Many Taiwanese consider themselves to be part of a separate nation, though most are in favour of maintaining the status quo in which Taiwan neither declares independence from China nor unites with it.

In his interview with Fox News, Trump reiterated that US policy on the matter had not changed.

"You know, we're supposed to travel 9,500 miles (15,289km) to fight a war. I'm not looking for that. I want them to cool down. I want China to cool down."

On the flight back to Washington, the US president had told reporters that he and Xi had spoken "a lot" about the island, but said he had declined to discuss whether the US would defend it.

Xi "feels very strongly" about the island and "doesn't want to see a movement for independence", Trump said.

"The Taiwan question is the most important issue in China-US relations," Xi warned during the talks, according to Chinese state media, adding: "If mishandled, the two nations could collide or even come into conflict."

Asked if he foresaw a conflict with China over Taiwan, Trump had said: "No, I don't think so. I think we'll be fine. [Xi] doesn't want to see a war." APA