China said on Monday that it is "gravely concerned" about US President-elect Donald Trump's latest remarks suggesting he is reconsidering the one-China policy, urging the new administration to adhere to the policy.

"The one-China policy is the political foundation of China-US ties," said Geng Shuang, Foreign Ministry spokesperson, at a daily press briefing.

He said the stable and healthy development of China-US ties and cooperation in major areas will be severely affected if this foundation was undermined.

On "Fox News Sunday," Trump said that that he does not feel "bound by a one-China policy unless we make a deal with China having to do with other things, including trade."

The Taiwan issue, concerning China's sovereignty and territorial integrity, involves China's core interest, Geng said.

"We urge the new US leader and the government to fully recognize the high sensitivity of the Taiwan issue, continue to stick to the one-China policy and the three Joint Communiques between China and the United States, and discreetly deal with Taiwan-related issues so as to prevent China-US relations from being severely disturbed and damaged," the spokesperson said.