The rupee was trading at 61.03/04 versus its close of 61.08/09 on Friday, tracking gains in the BSE Sensex and retreating sharply from the day's high of 61.3350.
Further losses in the pair, however, seen limited due to dollar demand from oil refiners, dealers say.
The index of the dollar against six major currencies trading down 0.04 percent.
The main share index trading up 0.4 percent after having been flat to slightly lower through most part of the session.
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