Dealers attributed the rupee's fall to fresh demand for the US currency and a lower opening in domestic stocks, too.
Major currencies mostly made marginal gains against the US dollar overseas as the pound stabilised after a dive amid the electoral tumult last week, which limited the rupee's fall, they said.
On Friday, the rupee had lost 3 paise to close at 64.24 against the US currency, cutting short its two-day rise.