China claims nearly all the energy-rich waters of the South China Sea, where it has established military outposts on artificial islands.
China believes the sea belongs to them, whereas the USA has accused China of using the islands in the South China Sea to meet and intimidate its Asian neighbours.
"We continue to make progress on any number of issues".
Asked specifically what Wei sought for the United States to do differently, and whether that included halting such freedom of navigation operations, Wu said: "We (call on) the U.S. side to stop intervening in the South China Sea and stop military provocation in the South China Sea".
Wu, the defense ministry spokesman, told a news conference that Esper and Wei had a "very positive and constructive" meeting and "agreed in many areas".
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China's First Indigenous Aircraft Carrier Sails Through Taiwan Strait
On Sunday, Taiwanese defense officials said the new carrier passed the strait for the first time, trailed by USA and Japanese ships.
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The carrier, which was launched in 2017, crossed the sensitive waters on Sunday before entering the South China Sea for "scientific research tests and routine training", navy spokesman Cheng Dewei said on an official social media account.
The former US Lieutenant, General Wallace C. Gregson, has said to the media outlet National Interest: "Today the South China Sea is the most risky area in the world".
"The Chinese side also requires the USA side to carefully handle the Taiwan related-issue and to not add new uncertainties to the Strait", Wu said.
Lou Chan, deputy chief of the Chinese academy of military sciences, last month spoke at a military conference proposing an attack on two U.S. aircraft carriers as a solution to the South China Sea crisis.
"Secretary Esper pointedly reiterated that the United States will fly, sail and operate wherever global law allows - and we will encourage and protect the rights of other sovereign nations to do the same", Hoffman said.
Asked about China's view on the civil unrest in Hong Kong, Wu said, "Ending violence and restoring order is the most pressing task we have in Hong Kong".