The rupee was trading strong at 64.75 in the evening session on bouts of dollar selling by banks and exporters.
The domestic unit recovered by 11 paise to 64.73 in the opening trade at the Interbank Foreign Exchange market today.
It hovered in a range of 65.02 and 64.68 per dollar during the afternoon trade before quoting at 64.75, up 9 paise at 3.45 pm local time.
The rupee plunged 69 paise or 1.06 per cent yesterday to end at 64.84 per dollar, tracking losses in domestic equities and other emerging market currencies.
The dollar was on track to record its worst week since August on Friday, having given up almost all the gains made since Donald Trump, now surrounded by political worries, was elected US president last year.
The dollar index, which measures the greenback against a basket of six major rivals, has fallen around 1.6 per cent this week, hitting its lowest since November 9 - the day of the US election results - on Wednesday and edging back 0.3 per cent down close to that trough on Friday.
Meanwhile, the benchmark BSE Sensex ended the session up by 30.13 points or 0.1 per cent at 30,464.92.