The domestic unit had recovered to 68.65 in early trade today as against Thursday's closing of 68.72 at the Inter-bank Foreign Exchange (forex) market.
It moved in a range of 68.78 and 68.64 before trading at 68.75 at 1102 hours.
The dollar index was down 0.31 per cent at 97.15 against a basket of six currencies in early trade.
The dollar edged down in Asian trade, but is still on track for weekly gains against its major counterparts as investors focused on the two-day meeting of the Group of 20 nations, which kicked off in Shanghai.
But it weakened steadily against the euro throughout the session, apparently ignoring volatility in oil prices.
Overseas, the US dollar was mostly lower against its
major rivals in early Asian trade ahead of policy decisions from the Federal Reserve and BOJ coming within hours of each other, while the yen found a steadier footing after having crept up from multi-week fall against the dollar and euro as investors adjusted positions ahead of the Bank of Japan policy review.
The pound continued its march higher today, soaring to a 10-week high against the dollar, as fears that the Brits will vote to leave the European Union receded after pro-EU comments from US President Barack Obama.
Sterling jumped to as high as USD 1.4573, up from USD 1.4483 on Monday, the highest level since mid-February.
Pramit Brahmbhatt of Veracity Financial Services said, "Following cues from domestic equity market, the rupee opened on a negative note thus by appreciating dollar. But continued to face resistance of 66.80/USD. Further taking cues from domestic equity market where we saw a smart recovery and rally too from low point of the day, the rupee recovered the lost ground and even appreciated for the day."
In forward market, the premium for dollar declined further on sustained receivings from exporters.
The benchmark six-month premium for September eased to 188-190 paise from 189-191 paise yesterday and far-forward March 2017 contract also edged down to 379-381 paise from 381-383 paise.
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