Most Asian equities extended gains into a second session on Tuesday following another U.S. rally, while investors kept an eye on the region's central banks. Markets in China remain closed until Wednesday for National Day holidays.

On Wall Street, the Nasdaq closed up 1.5 percent while the S&P 500 and Dow both spiked nearly 2 percent, fueled by expectations that the Federal Reserve will refrain from tightening monetary policy this year after last week's poor jobs report.