The rupee resumed higher at 62.15 per dollar as against the last weekend's level of 62.28 at the Interbank Foreign Exchange market and firmed up further to 62.10.
However, it trimmed its initial gains and was quoted at at 62.19 per dollar at 1045 hours after touching 62.22.
In New York market, the dollar rose against the yen last Friday but fell against the euro, as investors grappled with data showing the US economy added fewer jobs than expected in January and its implications for the Federal Reserve's removal of monetary stimulus.