Shares of realty, power, auto, capital goods, metal, IT, tech and healthcare sectors succumbed to profit-booking.
While, banking, oil & gas and FMCG segments witnessed buying activity.
The 30-share Sensex opened higher at 25,615.28 and moved widely between 25,683.97 and 25,369.21 and was trading flat at 25,577.32 at 1010 hours, down 4.79 points, or 0.02 per cent, from its last close.
The NSE 50-share Nifty was also trading lower by 3.70 points, or 0.05 percent, to 7,619.50 at 1010 hours.
Meanwhile, foreign portfolio investors (FPIs) bought shares worth a net Rs 422.72 crore on Tuesday, as per provisional data from stock exchanges.
Major losers are Tata Motors (1.95 percent), Tata Power (1.56 percent), M&M (1.53 percent), HeroMotoCorp (1.39 percent), Dr Reddy's (1.25 percent) and Bajaj Auto (1.24 percent).
However, the gainers were Hindalco Inds (4.59 percent), GAIL (2.41 percent), Tata Steel (2.30 percent), BHEL (1.50 percent) and ITC (1.04 percent).
Asian stocks traded lower amid decline in global equities triggered by concerns that equity valuations are too high.
Key benchmark indices in China, South Korea, Taiwan, Hong
Kong, Singapore and Japan were down by 0.25-1.27 percent while Indonesia's Jakarta Composite rose 0.72 percent.


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