Buoyant macro-economic data released over the weekend alongside firm local equities largely supported the recovery momentum despite bullish dollar overseas.
Though, trading was largely confined to a narrow range in the absence of any big triggers, a forex dealer commented.
Marking positive growth for the fourth month in a row, country's exports rose by 5.72 per cent to USD 23.9 billion in December whereas imports grew by 0.46 per cent to USD 34.25 billion during the month under review, leaving a trade deficit of USD 10.36 billion as against USD 11.5 billion in December 2015.
However, the domestic unit staged a strong recovery towards the fag-end trade to hit a fresh intra-day high of 68.0875 before settling at 68.10, showing a gain of 6 paise, or 0.09 per cent.
It had lost 8 paise last Friday.
In worldwide trade, the US dollar traded firmly higher against major world currencies following stellar December retail sales, reflecting a boost in confidence after the US election.
The US dollar index was trading higher at 101.64 in late afternoon session.
The RBI fixed the reference rate for the dollar at 68.1558 and for the euro at 72.4155.
In cross-currency trades, the rupee rose sharply against the pound sterling to finish at 82.11 from 83.22 and also strengthened against the against the euro to close at 72.13 as compared to 72.62 earlier.
But, it fell back against the Japanese Yen to settle at 59.63 per 100 yens from 59.49.
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