Upcoming U.S. retail sales and industrial production data also remained on investors' radar.
The dollar weakened while gold held near record highs as investors assessed the chances of an outsized rate cut move by the Federal Reserve on September 18.
Markets in China, Japan, South Korea and Indonesia were closed for holidays.
Hong Kong's Hang Seng index ended 0.31 percent higher at 17,422.12, reversing an early slide after economic data from China over the weekend disappointed.
Chinese industrial production and retail sales grew less than expected in August, home prices fell at the fastest pace in nine years and unemployment rose, adding to concerns over economic recovery and bolstering the case for additional economic stimulus.
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