The rupee is under pressure for the past one week.
Forex dealers said besides strong demand for the American currency from importers, capital outflows mainly weighed on the domestic currency.
Cautious optimism over US-China trade talks after US President Trump said his trade negotiators had received two "very good calls" from Beijing also influenced the local currency, dealers said.
The rupee opened slightly higher by Rs 67.24 against Tuesday's closing level of Rs 67.26 per dollar.
A strong dollar overseas and some hesitancy in local stocks, however, limited the rupee rise.
The rupee is seen weakening against dollar in current week.
It moved in a range of 66.9250 and 66.70 per dollar during the day
The rupee on Friday resumed lower at 60.25 a dollar from previous close of 60.19 at the Interbank Foreign Exchange market.
The rupee rallied for the second straight session by gaining 21 paise to end at 66.10 against US dollar.
The Indian rupee on Wednesday ended unchanged against the US dollar at 61.41 ahead of the outcome of US Federal Reserve's policy meeting.
A weak dollar overseas failed to restrict the rupee's decline, a forex dealer said.
The rupee resumed higher at 67.77 per dollar as against last Friday's closing level of 67.78.
The rupee ended lower by six paise at 65.73 against the US dollar on Monday.
The dollar was weak against major world currencies.
Recovering from early losses, the rupee on Friday ended marginally higher at 64.81 against the US dollar.
Capital inflows continued to aid the rupee's rise, although a strong dollar overseas capped the gains.
The dollar index, which measures the greenback's strength against a trade-weighted basket of six major currencies, was up by 0.19 per cent at 95.48.
The rupee resumed marginally lower at 67.24 per dollar against Wednesday's closing level of 67.21.
Rupee closed at 61.86 against the dollar on Tuesday.
The US dollar surged to fresh one-year high after the Fed chief's testimony to the US Senate on Wednesday bolstered the expectations of interest rate hikes, though gradually.
The local currency recovered some ground after the Reserve Bank of India (RBI) was said to have stepped in through state-run banks, helping the rupee to end at 64.30, a fall of 110 paise or 1.74 per cent.
Strong foreign fund inflows, a weakening dollar and slipping oil prices propped up the local unit.
The global brokerage firm further said that BoP would be INR-supportive.
The Indian rupee had lost 10 paise to close at 64 on Thursday.
The rupee appreciated 7 paise to 79.74 against the US dollar in early trade on Thursday as a positive trend in domestic equities supported the local unit. However, a strong American currency overseas and forex outflows restricted the rupee's gain, dealers said. At the interbank foreign exchange, the rupee opened at 79.72 against the American dollar, then went lower to trade at 79.74 against the greenback in early deals, registering a gain of 7 paise over the last close.
The rupee has depreciated by about 25 per cent in the past three months, from close to Rs 83 in mid-May, while it was even higher at about Rs 80 against the British Pound in March.
The Indian rupee on Thursday appreciated by 12 paise to end at 66.71.
The rupee on Tuesday tumbled by 32 paise to close at 64.17 on fresh dollar demand from importers.
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.
Indian rupee washed out initial losses against the greenback.
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 rupee recovered by 13 paise to close at 66.31 per dollar on fresh selling of dollars by banks and exporters despite fall in equity market.
The rupee extended gains for the second straight session against the US currency by firming up 21 paise to close at 64.82 a dollar.
the rupee had closed steady at 67.95 per dollar on Monday.
The rupee firmed up by 15 paise to close at 62.36 per dollar on fresh selling by banks
The rupee had recovered by 8 paise to close at 66.91 in Tuesday's trade.
Forex dealers said strengthening of the euro against the dollar overseas and a higher opening in the domestic equity market also supported the local currency.
Forex dealers said dollar's weakness against other currencies overseas supported the rupee.
Rupee hits more than two-year low; RBI intervenes
The dollar index was down by 0.02 per cent against a basket of six major currencies.