At the Interbank Foreign Exchange, the rupee opened weak at 71.01 then fell to 71.02 against the US dollar
The country's reserve position with the International Monetary Fund also increased by USD 15 million to USD 3.644 billion, the data showed.
Domestic unit was trading in a narrow range as investors are awaiting fresh cues on the US-China trade front.
The local unit gathered strength anticipating further easing in key rates to boost the slowing economy.
Positive opening in domestic equities supported the rupee and restricted the fall.
At the interbank foreign exchange, the rupee opened at 71.77, showing a decline of just 1 paise over its previous closing.
At the interbank foreign exchange, the rupee opened at 71.83 then fell to 71.89 against the US dollar.
Positive opening in domestic equities and easing crude oil prices supported the domestic unit.
Trading in emerging market currencies were subdued tracking cautious opening in domestic equities.
At the interbank foreign exchange the rupee opened at 71.67, then gained further ground and touched a high of 71.59.