Moreover, the US dollar's gains against some currencies overseas on strong jobs data put the rupee on the backfoot, forex dealers said.
However, a higher opening of the domestic equity market capped the rupee's losses.
The rupee had strengthened further by 14 paise to end at 66.77 against the US currency on Friday on the back of sustained dollar selling by exporters amid weak overseas signals.
Meanwhile, the benchmark BSE Sensex rose further by 136.83 points, or 0.48 per cent, to 28,215.18 in early trade.
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