Strong Inflows from overseas investors and across-the-board buying by the investors also helped market sentiments.
The 30-share barometer Sensex was quoting sharply higher by 364.80 points, or 1.27 per cent at 28,871.92 in early trade with all the sectoral indices led by banking, metal and auto were trading in the positive zone, gaining by up to 1.99 per cent.
The Sensex had lost 127.08 points in the previous two sessions.
The NSE Nifty too reclaimed the crucial 8,800-mark by climbing 108.65 points or 1.24 per cent to trade at 8,885.80.
Brokers said a flurry of buying by investors as well as foreign funds, tracking a firming trend in other Asian markets as investors cheered the Federal Reserve's decision not to lift interest rates, buoyed trading sentiments here.
The Federal Reserve kept its benchmark interest rate unchanged for the sixth straight meeting yesterday, saying it needs to see more signs of strength in the US economy.
The US Dow Jones Industrial Average ended 0.90 per cent higher in yesterday's trade.
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