Asian shares approached their July peak on Tuesday on signs the United States and China are inching closer to a truce in their trade war and on optimism the US economy is poised for solid, consumer-driven growth.
MSCI's broadest index of Asia-Pacific shares outside Japan ticked up 0.1 percent after hitting a four-month high the previous day.
China's mainland shares were little changed while Japan's Nikkei rose 1.34 percent to one-year high after a market holiday on Monday.
On Wall Street, the S&P 500 gained 0.37 percent to a record high of 3,078.27 on Monday while the Dow Jones and the Nasdaq also clinched all-time highs.
In Europe, shares rallied more than 1 percent, with many reaching their highest level since January 2018. The STOXX 600 index of small, mid-sized and large companies across Europe surged to highs last seen in July 2015.
US S&P 500 futures gained a further 0.2 percent in Asia.
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