The upcoming expiry of derivatives contracts and lower global cues also dampened sentiment.
Realty, capital goods, metal and auto sectors declined, while IT and teck indices moved up.
Larsen & Toubro and ITC pulled down the Sensex even as TCS and Infosys boosted it. The big losers on the index included Hindalco Industries and Tata Steel.
The 30-share S&P BSE Sensex resumed steady at 20,725.52 and hovered between 20,622.25 and 20,782.16 before finishing at 20,683.52, a loss of 41.91 points or 0.20 per cent. The index has lost 210.37 points during the past four days and was at the lowest closing level since October 17.
The 50-share CNX Nifty on the National Stock Exchange moved down 19.45 points, or 0.32 per cent, to finish at 6,144.90. The SX40 on the MCX Stock Exchange ended at 12,309.62, down 21.7 points.
Asian stock markets declined. Key indices in Taiwan, Hong Kong, China, Singapore, Japan and South Korea fell.
European markets were lower in early, with indices in France, Germany and UK down.
