Zhang Wei | China News Service via Getty Images Shares in Hong Kong led gains in the Asia-Pacific session after ending the month of October with losses of more than 14%, hovering around the lowest levels seen since April 2009. Hong Kong’s Hang Seng rose 5.23 percent to 15,455.27, with Hang Seng Tech up 7.8 percent on unconfirmed reports of resumption of talks in China. Mainland China’s Shanghai Composite gained 2.62% to 2,969.20 and the Shenzhen Component rose about 3.24% to 10,734.25 after the country’s Caixin manufacturing PMI came in at 49.2, slightly better than expected. The Reserve Bank of Australia raised interest rates by 25 basis points for the second time in a row, in line with expectations. The S&P/ASX 200 rose 1.65% to 6,976.90. Japan’s Nikkei 225 was 0.33% higher at 27,678.92 while the Topix was up 0.47% at 1,938.50. South Korea’s Kospi also rose 1.81 percent to 2,335.22. The broader MCSI index of Asia-Pacific shares outside Japan was 2.74% higher. Overnight in the US, stocks fell, but the Dow posted its best month since 1976 and all major averages ended the month in positive territory after two months of losses. The Federal Reserve’s meeting begins Tuesday in the state, where traders widely expect a 75 basis point rate hike this week.