The 30-share Sensex ended down 65 points at 19,546 and the Nifty ended down 20 points at 5,919.
The broader markets outperformed the BSE benchmark index with the mid and smallcap indices gaining 0.5-0.6% as compared to the 0.3% rise on Sensex.
European markets rebounded on Tuesday to open higher, amid encouraging employment data from Spain and positive cues from the US markets on Monday, led by bank shares.
Among the major indices in the region, CAC-40, DAX and FTSE were trading up 0.4-0.5% each.
Chinese shares were the biggest drag on regional bourses, with Shanghai shares shedding 1.2%.
Japan's Nikkei share average climbed more than 2% to mark its biggest one-day rise in three weeks on Tuesday, as investors scooped up battered stocks such as financials, which had fallen from recent peaks into bear market territory.
Hang Seng and Straits Times ended flat with positive bias.
BSE Consumer Durables index was the top loser among sectoral indices on the BSE down 1.3% followed by Bankex, Auto, Realty and IT indices.
Healthcare index was the top gainer up 1.9% followed by Capital Goods and Power indices.
In the Sensex pack, ICICI Bank, SBI, HDFC Bank and HDFC ended down 0.4-2.1%
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