The rupee trimmed its initial gains to trade steady at 63.39 against the American currency in late morning deals on bouts of dollar selling from banks and exporters.
Earlier, the rupee opened higher at 63.32 per dollar as against yesterday's level of 63.39 per dollar at the Interbank Foreign Exchange (Forex) Market.
The rupee slipped marginally to 62.41 per dollar on spell of dollar demand from importers before quoting 63.39 per dollar at 1100 hrs.
It moved in a range of 63.41 per dollar and 63.32 per dollar during the morning deals.
Euro firmed up early Asian trade, while the safe-haven yen slipped on signs that cash-strapped Greece was making some progress, efforts to secure fresh funding.
Meanwhile, the benchmark BSE Sensex was trading down by 26 points or 0.09 per cent to 27,599.36 at 1115 hrs.
