Markets in mainland China and South Korea were closed for holidays.
US President Donald Trump added that Thursday while talking to reporters. While saying he would rather reach a "whole" trade agreement with China, he did not rule out the possibility of a smaller one.
Some of Trump's advisers have great prospects for a smaller deal that will allow the two sides to agree on easier-to-solve issues, leaving sticky topics such as intellectual property theft or currency manipulation for later conversations.  The US and China are expected to meet again soon for face-to-face talks in Washington.
Investors are also watching the prospect of more stimulus from central banks.
It also announced that it would start printing money again, promising to buy $ 20 billion ($ 22 billion) in bonds and other financial assets per month from November.
"Monetary relief is gaining momentum in developed markets," wrote analysts for Asia at the Dutch bank ING Group. The analysts added that they do not believe the Bank of Japan "wants to fall behind and risk further financial weakness."