The MSCI Asia Pacific Index was up 0.4 percent, having fallen as much as 0.3 percent ahead of the release of China’s official manufacturing purchasing managers’ index as well as a comparable private-sector measure.
Japan's Nikkei edged up in choppy trade on Tuesday after the Bank of Japan held policy steady, as expected, while disappointing earnings forecasts from some bellwether companies capped gains.
The benchmark Nikkei share average rose 0.1 percent to 17,442.40, after trading in negative territory.
Chinese stocks snapped a four-session losing streak on Tuesday, after an official survey showed the country's manufacturing sector expanded at a faster pace than expected in October.
The blue-chip CSI300 index and the Shanghai Composite Index both gained 0.7 pct, to 3359.05 points and 3,122.44 points, respectively.
Hong Kong stocks rose the most in a week on Tuesday after business surveys showed growth in China's factory and service sectors accelerated last month.
The Hang Seng index rose 0.9 percent to 23,147.07 points, while the China Enterprises Index gained 1.5 percent to 9,706.20.
Reference: Bloomberg, Reuters