Weakness of dollar in the overseas market also boosted the rupee value, a forex dealer said.
In New York market, the dollar had slipped against the euro on Friday.
Back home, the rupee resumed at at 53.44 a dollar as against the last weekend's level of 53.45. It firmed further to 53.05 before quoting at 53.25, at 1100 hrs.
The domestic currency has moved between 53.05 and 53.52 per dollar during the morning deals.
Meanwhile, the BSE 30-stock index, Sensex, was up 23.68 points or 0.13 per cent at 18,776.51 at 1100 hrs.
