However, the hefty initial gains of the rupee, which had jumped to 61.05 intra-day, were substantially erased on month-end demand for US dollars from private oil firms and some defence-related purchases, amid fall in domestic stocks.
The rupee has dropped by 21 paise or 0.32 per cent in the last two sessions.
Forex dealers said dollar's weakness against other currencies overseas supported the rupee.
The rupee had dropped 15 paise or 0.22 per cent yesterday.
The local currency opened higher at 61.20 a dollar from the previous close of 61.30 at the Interbank Foreign Exchange Market.
Volatile currency market sentiment across Asia following a fresh round of China's yuan depreciation further added to gloom.
The rupee on Tuesday recovered from its two-week low to end steady at 66.60 against the American currency, inching up by a paisa on the back of mild dollar selling.
The dollar index, which tracks the world's reserve currency against a basket of its peers, is down 0.16 per cent at 97.58.
Concerns related to capital outflows in the aftermath of the first US interest rate hike in nearly a decade predominantly weighed on the rupee trade.
The Indian rupee on Thursday appreciated by 12 paise to end at 66.71.
The rupee plunged by 28 paise to more than 2-month low of 66.47 against the US dollar on Monday.
Hopes of more foreign funds on the back of sharp recovery in domestic equity market also boosted the value rupee against the dollar
The rupee recovered by 15 paise at 65.49 against the US dollar.
The rupee had firmed up 16 paise to close at 67.52 on Thursday.
Domestic equity markets opened with losses which capped the rupee gains.
The rupee ended marginally lower by three paise at 66.36 against the US dollar.
The rupee slipped marginally by two paise at 66.43 against the US dollar on good demand
The rupee had shed four paise at 63.81 against the US dollar in Friday's trade on sustained demand.
The domestic unit moved in a range of 64.14 and 63.99.
The gains were capped due to month-end dollar demand from importers, mainly oil firms
The rupee had lost 27 paise to close at more than 5-week low.
Fresh demand for the US currency from importers and banks alongside sustained capital outflows by foreign funds weighed on the local unit
In forward market, premium for dollar declined in view of mild receivings from exporters.
Rupee was impacted by renewed dollar demand from banks and importers amid sharp falls in equity market
The RBI fixed the reference rate for the dollar at 64.1505 and for the euro at 72.2720.
In forward market, premium for dollar continued to fall due to persistent receivings from exporters.
The rupee recovered marginally at close against the dollar.
The dollar maintained its bullish momentum in Asian and early European trade
The rupee on Tuesday weakened by 15 paise to close at 63.30 against the US currency
Robust capital inflows alongside a slightly weaker greenback too reinforced the dominance of the home currency
Bouts of month-end dollar demand from banks and importers hit the rupee
In overseas trade, the American currency traded lower against the yen and the euro in an Asian session as well as modest profit-taking after recent sharp gains
The rupee ended almost flat against the dollar.
India's current account deficit narrowed sharply to just $300 million
The $5.7 billion total includes $1.6 billion in fines separately imposed by the US Federal Reserve on the five banks.
The Indian rupee on Tuesday ended marginally higher against the American currency at 61.41 amid volatile trading on the back of a higher dollar overseas.
Rupee ends day stronger against the dollar.
Unwinding of long dollar positions by banks too aided the sentiment
At lower levels, a supportive buying in dollar forced rupee to depreciate since opening trade