Rupee was still up at 62.15/16 versus 62.26/27 close on Thursday; however, down 0.4 per cent for week.
Local stocks were trading with gains, up 0.7 per cent with gains in Asian FX also helping INR.
Overseas investors bought Indian shares worth 206 crore rupees ($33.09 million) on Thursday, extending their buying streak to a seventh session, provisional exchange data showed.
Some dealers cited inflows related to GlaxoSmithKline Plc's roughly $1 billion move to raise its stake in its Indian pharmaceutical unit. The open offer opened on Tuesday and will close on March 5.