Australia

Australian shares are set to open higher, after US stocks rose broadly to start the week.

ASX futures were up 0.97% or 78 points as of 8:00am on Tuesday, suggesting a higher open.

U.S. stocks rallied, recouping some of last week's losses as investors looked ahead to fresh inflation data.

The advance was broad-based, with all 11 of the S&P 500's sectors gaining ground. That lifted the broad U.S. stock index to a 1.2% gain. The Dow Jones Industrial Average climbed 1.2% while the tech-heavy Nasdaq Composite also gained 1.2%.

In commodity markets, Brent crude oil was up 1.1% to US$71.84 a barrel, while gold was flat at US$2,506.45.

The Australian dollar was at 66.61 US cents, down from its previous close of 66.69.

Asia

Chinese shares closed lower. The benchmark Shanghai Composite Index lost 1.1% to 2,736.49, and the Shenzhen Composite Index fell 0.6% to 1,496.23.

Hong Kong shares ended lower. The benchmark Hang Seng Index dropped 1.4% to 17,196.96.

Japanese shares closed lower. The Nikkei Stock Average slipped 0.5% to 36,215.75.

India shares ended higher. The BSE SENSEX added 0.5% to 81,559.54.

Europe

Stocks in the U.K. finished higher. The FTSE 100 Index rose 1.1% to 8,270.84.

In Europe, shares closed higher. Germany's DAX gained 0.8% to 18,443.56, and France's CAC 40 increased 1.0% to 7,425.26.

North America

U.S. stocks ended higher. The DJIA rose 1.2% to 40,829.59, the S&P 500 gained 1.2% to 5,471.05, and the Nasdaq added 1.2% to 16,884.60.

Among S&P 500 companies, the top three gainers were Super Micro Computer Inc, surging 6.01%, United Airlines Holdings Inc jumped 5.99%, and Paycom Software Inc lifted 5.75%.

The biggest decliners were Enphase Energy Inc which dropped 5.16%, Humana Inc fell 3.94%, and Bath & Body Works Inc lost 3.67%.