At the interbank foreign exchange, the domestic unit opened at 82.23, then touched a high of 82.21 against the American currency. It later traded at 82.25, registering a fall of 7 paise over its previous close.
On Friday, the rupee had settled at 82.18 against the dollar.
According to experts, traders were also upbeat on dollar on the back of positive macroeconomic data from the US and robust sentiment in the global markets.
Meanwhile, the dollar index, which gauges the greenback's strength against a basket of six currencies, rose by 0.14 per cent to 101.77.
Brent crude futures, the global oil benchmark, was trading 0.53 per cent lower at USD 84.54 per barrel.
In the domestic equity market, the 30-share