In South Korea, the Kospi was up by 0.26 percent to close at 2,308.98 as the performance of blue chip stocks was mixed. Shares of Samsung Electronics were up by 0.78 percent and Hyundai Motor saw gains of 0.39 percent, while Korea Electric Power Corporation slid by 1.01 percent.
South Korean President Moon Jae-in left for Pyongyang on Tuesday for a historic summit with North Korean leader Kim Jong Un, with the aim of mediating stalled U.S.-North Korea nuclear talks and to strengthen inter-Korean relations, according to Yonhap news agency.
Australia's ASX 200 was among the minority which saw a decline, as it fell by 0.38 percent to close at 6,161.5, with the energy sector lower by 1.53 percent. The heavily-weighted financial subindex ended the trading day largely flat as AMP fell by 1.56 percent.