Traders said volumes in the currency market were low on account of the U.S. Labour Day holiday and following a long-weekend back at home.
The euro hit a fresh one-year low, as heightened worries about the crisis in Ukraine kept the currency on the defensive ahead of a European Central Bank policy meeting later this week.
Traders say foreign fund flows into the stock and debt markets will remain crucial for direction in the near-term.
Although foreign investors have remained buyers of Indian shares and bonds through the year, some concerns are emerging about whether the trend can continue, especially since they have now almost reached their purchasing limit in debt markets.
"The ECB meeting will be watched to see if there is any further liquidity provided. The rupee is likely to hold in a 60.20-60.80 range this week," said Vikas Babu Chittiprolu, a senior foreign exchange dealer with state-run
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