However, consolidation in local equities and continued capital outflows capped the domestic currency's gains to some extent, forex dealers said.
The rupee commenced a tad higher at 54.80 from its previous closing of 54.81 on Friday at the Interbank Foreign Exchange (Forex) market.
It moved in a range of 54.54-54.84 before closing at 54.56, a rise of 25 paise, or 0.46 per cent.
Pramit Brahmbhatt, CEO, Alpari Financial Services (India) said: "Rupee continued to trade strong for the second day against the dollar taking cues from the euro, which traded strong against the dollar."
The dollar index was quoting down by 0.05 per cent against a basket of six major currencies.
The yen weakened beyond 99 against the dollar for the first time since May 2009
Stocks Corner: 4 BIG BETS in the IT sector
Markets end lower on weak global cues
Re edges higher to 54.26 Vs dollar
Re snaps 2-day losing string, up 6 paise
Rupee at 1-month low, slides 44 paise to 54.87