The domestic unit opened sharply higher at 64.80 as against Wednesday's closing level of 65.12 at the Interbank Foreign Exchange (forex) market.
Forex market was closed yesterday for 'Dussehra'.
During the day, the rupee hovered in the range of 64.95 and 64.77 before settling at 64.83, showing a gain of 29 paise or 0.45 per cent.
The local currency had dropped 32 paise, or 0.49 per cent, in previous two trading days.
Globally, the euro fell to its lowest level in two months yesterday after European Central Bank President Mario Draghi all but promised the central bank would expand its programme of quantitative easing at its December meeting.
The trading range for the Spot USD/INR pair is expected to be within 64.40 and 65.20.
Meanwhile, the benchmark BSE Sensex ended higher by 183.15 points, or 0.67 per cent, at 27,470.81.
