The rupee resumed lower at 54.43 per dollar against the last weekend's level of 54.22 at the Interbank Foreign Exchange (Forex) market and hovered in a range of 54.32 and 54.44 before quoting at 54.33 per dollar at 1040 hours.
Persistent dollar demand from banks and importers on the back of a firm dollar in overseas markets mainly affected the rupee value, a forex dealer said.
Asian stocks were trading mostly higher in early trade with the yen's slide boosting Japan market but weighing on South Korea after the weekend's Group of 20 meeting remained silent on the Japanese currency's recent depreciation.
Meanwhile, the Indian benchmark Sensex firmed up by 60 points, or 0.31 per cent, to 19,527.94 at 1100 hours.