Non-deliverable forwards indicate rupee will open at around 82.84-82.85 to the U.S. dollar, compared with 82.8275 in the previous session. The local currency has declined in seven of the last eight sessions.

On the one hand, USD/INR is at a level where "it would seem" there is limited upside, and on the other hand, "there is little doubt" where the broader direction lies, a trader said.

The 82.95-83.00 level is now "all-important" for USD/INR, the trader said, adding that whether the pair will move above that level will depend on the Reserve Bank of India and to an extent on the forward premiums.

The 2-year U.S. yield inched up in Asia, hovering near its highest level since mid-March. Market participants were watching the progress in U.S. debt ceiling talks and comments by Federal Reserve officials.

Fed officials struck a hawkish tone again. Minneapolis Fed President Neel Kashkari, a voter this year on the Federal Open Market Committee this year, said it was a "close call" whether he would vote to raise interest rates or pause at next month's meeting.

St. Louis Fed President James Bullard said the U.S. central bank may still need to raise the benchmark interest rate by another half-point this year.

The dollar index inched up in Asia. Most Asian currencies were down with the offshore Chinese yuan slipping to 7.0630 to the dollar.

Markets are cautiously confident of a debt-ceiling deal being reached and that with hawkish hints by Fed officials suggest there could be another repricing higher in U.S. rate expectations and keep the dollar supported a bit longer, ING Bank said.

KEY INDICATORS: ** One-month non-deliverable rupee forward at 82.94; onshore one-month forward premium at 9.5 paisa ** USD/INR NSE May futures settled on Monday at 82.8675 ** USD/INR May forward premium at 1.5 paisa ** Dollar index up at 103.30 ** Brent crude futures up 0.4% at $76.3 per barrel ** Ten-year U.S. note yield at 3.71% ** SGX Nifty nearest-month futures up 0.1% at 18,361 ** As per NSDL data, foreign investors bought a net $91mln worth of Indian shares on May 19

** NSDL data shows foreign investors sold a net $36.9mln worth of Indian bonds on May 19

(Reporting by Nimesh Vora)

By Nimesh Vora