Japan’s Nikkei 225 index finished the session up 2.7% to 21,317.3 points, led by the tech sector.
The US last week announced proposed tariffs against China, which sent global markets tumbling.
But China’s premier Li Keqiang said on Monday that China and the US should maintain negotiations.
Mr Li’s comments followed those made earlier by US Treasury secretary Steven Mnuchin, who told US media on Sunday he was “cautiously hopeful” that the US and China could come to an agreement on trade issues.
On Wall Street, the S&P 500 finished Monday’s session up 2.7%, the Dow Jones gained 2.8%, and the tech-heavy Nasdaq Composite ended up 3.3%. (BBC Arabic)