Stock markets opening with gains bolstered the rupee sentiment, a currency trader said.
However, the dollar's strength against other currencies overseas capped the gains, dealers said.
On Friday, the rupee had gained 15 paise to end at a fresh three-week high of 64.93 on easing macro worries coupled with record-setting domestic equities.
Meanwhile, the benchmark BSE Sensex rallied 254.63 points
to hit all-time high of 32,687.32 while NSE Nifty scaled new peak of 10,242.45 in early trade.