The rupee opened lower by 6 paise at 67.33 as against yesterday's closing level of 67.27 per dollar at the Inter-bank Foreign Exchange (Forex) market.
The domestic unit hovered in a range of 67.34 and 67.21 during the morning deals before quoting at 67.22 per dollar at 1030 hrs.
The dollar index was trading up 0.01 percent at 97.16 against a basket of six currencies in the early trade.
Meanwhile, foreign portfolio investors (FPIs) sold shares
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worth a net Rs 206.40 crore yesterday as per provisional data from exchanges.
In the forward market, premium for dollar displayed a steady to firm trend.
The benchmark six-month premium for February settled virtually steady at 159.5-161.5 paise, while the forward August 2017 contract edged higher to 342-344 paise from 341.5-343.5 paise previously.
The flagship BSE Sensex dropped 70.58 points to end at 28,223.70, while Nifty fell 16.65 points to 8,706.40.
Crude prices drifted sharply after both Iran and Saudi Arabia played down expectations for a oil output freeze deal at the closely watched informal OPEC meeting on Wednesday.
The production cut talks between OPEC and non-OPEC oil producers will take place at the three-day oil conference in Algiers next week.