Sensex closed down 141.90 points (0.19%) at 75,867.80 and Nifty fell 6.55 points (0.03%) at 23,907.15 in volatile trade.
HDFC Bank, Infosys, ITC, HUL, Reliance and ICICI Bank were major laggards; Power Grid, Eternal, NTPC and Tata Steel were top gainers.
FIIs offloaded ₹2,407.87 crore on Tuesday while Brent crude dropped 3.24% to $96.35 amid mixed geopolitical signals from West Asia.