Indian ADRs ended mixed on Thursday. Wipro added 0.55 percent and Tata Motors slipped 0.97 percent.
Australian and New Zealand shares were each up 0.5 percent while Japan's Nikkei edged 0.3 percent higher and South Korea's KOSPI index rose 1 percent.
The Dow Jones Industrial Average rose 252.78 points, or 1.02 percent, to 25,050.56, the S&P 500 gained 13.22 points, or 0.49 percent, to 2,714.55 and the Nasdaq Composite added 15.53 points, or 0.22 percent, to 7,233.76.
Indian ADRs ended lower on Wednesday. Tata Motors fell 2.27 percent and ICICI Bank was down 0.81 percent.
Japan's Nikkei shed 1 percent even as the yen gave back some of its recent gains on the dollar.
The Dow Jones Industrial Average fell 166.97 points, or 0.67 percent, to 24,797.78, the S&P 500 lost 14.93 points, or 0.55 percent, to 2,701.33 and the Nasdaq Composite dropped 16.08 points, or 0.22 percent, to 7,218.23.
Indian ADRs ended lower on Tuesday. Tata Motors was down 0.66 percent and HDFC Bank fell 1.24 percent.
MSCI's broadest index of Asia-Pacific shares outside Japan lost 0.15 percent. Japan's Nikkei shed 0.2 percent.Australian stocks were down 0.05 percent and South Korea's KOSPI fell 0.4 percent.
The Dow Jones Industrial Average fell 254.63 points, or 1.01 percent, to 24,964.75, the S&P 500 lost 15.96 points, or 0.58 percent, to 2,716.26 and the Nasdaq Composite dropped 5.16 points, or 0.07 percent, to 7,234.31.
Japan's Nikkei 225 lost 1.26 percent as financials, manufacturing and energy-related names traded in negative territory, while technology stocks traded mixed.
Japan's Nikkei 225 rose 428.96 points, or 1.97 percent, to 22,149.21, while the Topix index added 37.78 points, or 2.17 percent, to 1,775.15. South Korea's Kospi index added 20.99 points, or 0.87 percent, to 2,442.82.
Japan's Nikkei 225 rose 1.13 percent in early trade, while the Topix index was up 1.2 percent. South Korea's Kospi index gained 0.87 percent.
Global indices projected a mixed picture as the US markets along with the Asian markets recorded gains in the week gone by. But the Indian markets including the Sensex and the Nifty remained flat as the Sensex could only manage 0.01 percentage gain while the Nifty was down 0.03 percent.
The Dow Jones Industrial Average rose 0.08 percent to end at 25,219.38 points, while the S&P 500 gained 0.04 percent to 2,732.22. The Nasdaq Composite dropped 0.23 percent to 7,239.47.
Indian ADRs ended mostly higher on Thursday. Dr Reddy's Laboratories added 0.40 percent and Wipro gained 1.28 percent.
The Dow Jones Industrial Average rose 306.88 points, or 1.23 percent, to 25,200.37, the S&P 500 gained 32.57 points, or 1.21 percent, to 2,731.2 and the Nasdaq Composite added 112.82 points, or 1.58 percent, to 7,256.43.
Japan's benchmark Nikkei rallied 1.26 percent as the yen weakened.
Indian ADRs ended higher on Wednesday. Tata Motors was up 2.27 percent and ICICI Bank rose 0.20 percent.
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The Nikkei 225 rose 1.14 percent, or 242.61 points, in early trade.
The Dow Jones Industrial Average jumped 1.03 percent to end at 24,893.49 while the S&P 500 rose 1.34 percent to finish at 2,698.63. The Nasdaq Composite surged 1.86 percent to 7,143.62.
Indian ADRs ended lower on Tuesday. Tata Motors was down 0.14 percent and ICICI Bank fell 0.29 percent.
The Dow Jones Industrial Average rose 0.16 percent to end at 24,640.45 points, while the S&P 500 gained 6.94 points to close at 2,662.94. The Nasdaq Composite added 0.45 percent to 7,013.51.
Japan's Nikkei bounced 0.4 percent to 21,327, after closing at a four-month low on Tuesday. Dealers said there was a lot of focus on the 200-day moving average at 21,031 as a break there would ring bearish alarm bells.
Auto stocks were among the top losers in early trade, down by 0.2 percent, weighed on by tiremaker Michelin. Shares of the company dropped more than 1 percent after reporting its latest results and adding that its profits are likely to be hurt by currency moves.