The Nifty too climbed 157 points to recapture the 7,900-mark.
The comments, which led to a sharp rebound on Wall Street overnight, effectively buoyed investor sentiment here as worries of a China-led market slide took a back seat.
On Wednesday, New York Fed President William Dudley said the arguments for a rate lift-off are less compelling than it was a few weeks ago due to the threat posed by the recent spell of global market turbulence over Chinese slowdown fears.
Covering up of short positions on expiry of August futures and options contracts at the end of session contributed to the upside.
The rupee, at 66.04, was on a firmer footing against dollar, which too rubbed off on investor appetite.
Tracking the bullish cues, the 30-share Sensex hit the day's high of 26,302.77, before closing at 26,231.19, up 516.53, or 2.01 per cent, its biggest single-session gain since August 14.
In yesterday's trade, the barometer had lost 318 points.
Once it cracked above the 7,900-level, the 50-share NSE Nifty jumped to a session's high of 7,963.60, before settling lower 157.10 points, or 2.02 per cent, at 7,948.95.
HDFC gave a standout performance, up 8.41 per cent, as Vedanta, Tata Steel, Lupin and Cipla too registered gains.
Among BSE sectoral indices, consumer durables bounced back the most followed by realty, healthcare and oil & gas.
The broader markets, supported by retail investors, gained ground too as BSE small-cap and mid-cap indices surged 2.56 per cent and 2.49 per cent, respectively.
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