The rupee rose to its strongest in 11 months against the dollar on expectations of continued robust foreign buying in domestic shares and debt after the Bharatiya Janata Party swept the country's elections.
However, traders expect dollar buying from the central bank to limit broader gains in the rupee.
At 9:04 a.m (0336 GMT), the rupee was trading at 58.49/50 per dollar, after hitting 58.47, its strongest since June 18, 2013.
The pair had closed at 58.79/80 on Friday