The rupee, like its Asian peers, will do very well at the opening, a trader at a Mumbai-based bank said.

It is surprising that the dollar fell this much post the U.S. inflation considering that the market had anyway expected a soft reading, the trader added.

The dollar index tumbled 0.9% to touch its lowest since June after data showed the U.S. consumer price index (CPI) fell for the first time in more than 2-1/2 years in December.

The rupee is poised to test its next resistance level of 81.20, and we reckon it will have a difficult time breaching it, the trader said.

Fed fund futures signal that investors are now almost certain that the U.S. central bank will raise rates by 25 basis points (bps) on Feb. 1. That compares to the 50 bps hike it delivered in December and four 75-bps hikes prior to that.

"Markets have seized and amplified Fed pivot bets... This relief is grounded on solidifying evidence of dis-inflation squaring with the Fed approaching the end of its tightening cycle," Mizuho economists wrote in a note.

U.S. yields declined with the 2-year falling to near 4.15%. Asian shares and currencies rose.

Meanwhile, India's December reading came within the Reserve Bank of India's target zone for the second month in a row.

The continued softness in inflation may make the RBI opt for a smaller rate hike of 25 bps in February to take the repo rate to 6.5%, which will likely be the terminal rate in this cycle, wrote HDFC Bank economists.

KEY INDICATORS:** One-month non-deliverable rupee forward at 81.3; onshore one-month forward premium at 12.0 paise** USD/INR NSE January futures settled on Thursday at 81.6250** USD/INR January forward premium at 4.5 paise** Dollar index at 102.3** Brent crude futures down 0.5% at $83.6 per barrel** Ten-year U.S. note yield at 3.47%** SGX Nifty nearest-month futures up 0.2% at 17,958 ** As per NSDL data, foreign investors sold a net $416.7 mln worth of Indian shares on Jan. 11** NSDL data shows foreign investors sold a net $7.1 mln worth of Indian bonds on Jan. 11

(Reporting by Nimesh Vora; Editing by Eileen Soreng)

By Anushka Trivedi and Nimesh Vora