In the offshore non-deliverable forwards, the one-month contract was at 62.26/36, while the three-month was at 62.83/93.
Diesel makes up nearly half of fuel demand in Asia's No 3 economy.
The rupee on Thursday surged by 22 paise to close at a fresh three-week high of 61.75 against the US currency.
Data late on Wednesday showed consumer price inflation eased more than-expected to a 25-month low of 8.10 per cent in February, while industrial output unexpectedly expanded, albeit only by 0.1 per cent.
Asian shares ended higher after a string of positive US economic data.
In New York market, the dollar fell against the Japanese yen yesterday, taking cues from declines in US stocks.
They were shut when PSUs were selling heavily subsidised fuel; will reopen now, buoyed by diesel decontrol
The S&P BSE Sensex ended 80 points up at 23,789 while the Nifty50 closed at 7,235, up 24 points.
The session was marked by volatility and stock-specific action, even as the overall sentiment remains risk-averse, brokers said.
The run-up to next year's general elections might see some of the top executives of government-run companies getting unlucky. And, the period could become the best in the lives of those waiting in the wings.
Most of the session's gains for both the indices were wiped out as investors rushed to book profits ahead of F&O expiry on Thursday and also due to concerns over stretched valuations.
The Indian rupee slumped to a record low near 69 to the dollar on Wednesday on growing worries that foreign investors will continue to sell out of a country facing stiff economic challenges and volatile global markets.
RIL has maintained it had followed the production sharing contract (PSC) in letter and spirit and done no wrong and it has drilled all wells within its boundary.
But the 30-share Sensex rose by 141.52 points, or 0.41 per cent, to close at 34,297.47. The broader NSE Nifty gained 44.60- points, or 0.42 per cent, to end at 10,545.50 after touching a high of 10,618.10.
At least 8 people have died after a blast ripped through the Gas Authority of India Limited site at Nagaram village in Andhra Pradesh.
Analysts say Tatas could sustain their current pace of growth, provided the group's "cash cows", such as TCS and Tata Motors, continue to deliver.
Markets ended lower amid volatile trade with Sun Pharma leading the decline.
Indian equity markets registered their highest single-day percentage gains since early October.
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