Oil prices rose on Friday after a report from Opec showed its production fell sharply last month.
Midcap and smallcap stocks failed to perform, as their sectoral indices suffered losses of up to 0.33%.
Global headwinds have hit the prospects of a higher GDP growth, India Ratings and Research said.
Recovery in Asian stocks after initial losses influenced the mood back home.
BSE Sensex ended 3 points up at 36,321.29, with 13 stocks up and 18 down.
Most Asian markets tumbled after British lawmakers rejected Prime Minister May's deal.
Tuesday's gains boosted the cumulative m-cap of BSE-listed firms by Rs 1.52 lakh crore.
HUL had beaten Street estimates in Q2 by reporting a 19 per cent jump in profit after tax.
All sectoral indices were in the green on BSE, with energy and IT rising over 1 per cent.
Sensex fell 156 points to 35,853.56, with 24 stocks in the red and seven in the green.
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