However, foreign capital inflows into the equity markets restricted the rupee's fall against the dollar, forex dealers said.
The rupee opened sharply lower at 65.88 as against last Friday's level of 65.67 at the Interbank Foreign Exchange (forex) market.
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The rupee had gained 79 paise, or 1.19 per cent, in the last session on Friday.
The dollar index was trading higher by 0.10 per cent against a basket of six currencies in the global market.
In the Asian market, the greenback jumped against its major rivals, with some analysts giving credit to bets that the Federal Reserve will raise interest rates in December, even after standing pat this month.
Oil prices rebounded in Asia trade, but analysts said they remain weighed down by an over-supply and fresh worries about the world economy after the Federal Reserve decided last week against raising interest rates.
Meanwhile, the benchmark BSE Sensex declined by 25.93 points, or 0.10 per cent, to settle at 26,192.98.
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