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Japan’s Nikkei 225 is set to continue its record-breaking climb above the 50,000 mark on Tuesday as U.S. President Donald Trump is set to meet with newly minted Japanese Prime Minister Sanae Takaichi.

Futures signaled further gains for Tokyo stocks, with the Nikkei contract in Chicago at 50,700 and its Osaka counterpart at 50,520, compared with Monday’s close of 50,512.32.

Trump met Japan’s Emperor Naruhito after arriving in Tokyo on Monday and will be the first foreign leader to hold talks with Takaichi since she took office.

Other Asia-Pacific markets are set to open mixed on Tuesday, despite gains on Wall Street that saw all three major U.S. indexes reach record closing highs.

Hong Kong Hang Seng index futures were at 26,534, higher than the HSI’s last close of 26,433.7.

Australia’s S&P/ASX 200 started the day down 0.21%.

Overnight in the U.S., the S&P 500 climbed 1.23% to 6,875.16, its first close ever above the 6,800 level.

The Nasdaq Composite rallied 1.86% to 23,637.46, bolstered by a rise in Nvidia and other chip stocks. The Dow Jones Industrial Average jumped 337.47 points, or 0.71% to 47,544.59. 

Key market catalysts loom ahead this week, including Big Tech earnings, a Federal Reserve rate decision and a potential China trade deal.

— CNBC’s John Melloy, Sean Conlon and Liz Napolitano contributed to this report.