The rupee resumed lower at 61.50 per dollar as against the last weekend's level of 61.44 at the Interbank Foreign Exchange (Forex) Market.
It dropped further to 61.85 before quoting 61.78 per dollar at 1045 hours.
It moved in a range of 61.50 and 61.85 per dollar during the morning deals.
Crude oil prices edged lower in Asian trade today on growing concerns that the US budget crisis could spiral into a devastating debt default and ravage the global economy.
In New York market, the dollar rebounded against the euro and yen last Friday.
Meanwhile, the Indian benchmark BSE-30 share index Sensex dropped by 188 points or 0.94 per cent to 19,728.38 at 1050 hours.