The comments, carried by the Xinhua news agency, came as speculation mounted that the two sides were close to finalizing an agreement to resolve their nine month-trade war.
The remarks were part of a message conveyed by Chinese vice premier Liu He at a meeting with US President Donald Trump.
"Under the current situation, the healthy and stable development of China-US relations is related to the interests of both Chinese and American people," said Liu, passing on remarks from Xi.
Washington and Beijing since last year have imposed tariffs on more than $360 billion in two-way trade, biting into their manufacturing sectors as the world economy slows.
Vice Premier and Beijing's trade envoy Liu flew to Washington this week to continue hammering out trade negotiations.
The two sides "reached a new consensus on important issues" in trade agreement documents said Xinhua's report, citing Liu.