China's President Xi Jinping (R) and US President Donald Trump visit the Temple of Heaven in Beijing on May 14, 2026. Xi warned Trump that the issue of Taiwan could push their two countries into "conflict" if mishandled, a stark opening salvo as a superpower summit set to tackle numerous thorny issues began in Beijing on May 14. (Photo by Brendan SMIALOWSKI / POOL / AFP via Getty Images) Brendan Smialowski | Afp | Getty Images South Korea's benchmark Kospi notched a fresh record high on Friday, leading gains in Asia-Pacific markets as investors tracked the second day of high-stakes talks between U.S. President Donald Trump and Chinese President Xi Jinping . The index rose more than 0.6% to more than 8,000, while the small-cap Kosdaq was down 0.4%. Japan's  Nikkei 225 added 0.89% and the Topix jumped 1.18%. In Australia, the  S&P/ASX 200 gained 0.42%. Hong Kong's  Hang Seng index  futures were at 26,341, slightly below the index's last close of 26,389.04.…