The rupee was trading at 79.25 per U.S. dollar by 0333 GMT, up from 79.52 in the previous session.

**Asian shares and currencies rose after U.S. headline inflation slowed more than expected, prompting traders to pare bets of aggressive policy tightening by the Federal Reserve.

**Latest inflation report makes a 50 basis points hike more likely at the September meeting rather than a 75 basis points increase, although a lot will depend on the August CPI release next month, Morgan Stanley says in a note.

**Dollar index on Wednesday suffered its biggest decline since June 16.

**S&P 500 Index overnight climbed to highest since May.

**Dip in USD/INR to near 79.00-79.10 likely to prompt importers to hedge.

**Immediate support for pair seen at 78.80-78.90, the 50-day simple moving average.

(Reporting by Nimesh Vora)