In Hong Kong, the Hang Seng index pointed to a plus of 0.6 percent after a couple of hours of trading. Shanghai's and Shenzhen's composite index were up 0.4 and 1.1 percent, respectively.
In Tokyo, the Nikkei 225 index was traded just above zero when the traders took a lunch break.
In Hong Kong, the Hang Seng index simultaneously pointed to a plus of 1.1 percent an hour after opening.
In South Korea, the Kospi index was traded up 0.5 percent.
The signals from China and the USA were optimistic after the countries met for negotiations for the first time since the trade war started. Both sides announced that important progress had been made, but the details are still unclear.
The US Finance Minister Scott Bessent to provide more information on Monday.
As we say in China: If the dishes are delicious, the timing of them doesn't matter, said China's Vice Trade Minister Li Chenggang to reporters in Geneva.
When they are released, it will be good news for the world, he continued.