The domestic currency received a boost from fresh selling of the American unit by exporters and banks amid a better opening in domestic equities.
However, a strong dollar overseas squeezed the rupee's gains, traders added.
On Friday, the rupee had ended flat at 64.45 against the US currency in an otherwise quiet and range-bound trade amid weaker dollar sentiment overseas.
The benchmark Sensex rose 73.69 points, or 0.23 per cent, to 32,094.44 points in early trade today.
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