Meanwhile, the S&P BSE Sensex was down 23.25 points, or 0.06% to 38,838.98.
HPCL (down 2.73%), BPCL (down 1.44%) and Indian Oil Corporation (down 1.36%) edged lower.
Higher crude oil prices could increase under-recoveries of PSU OMCs on domestic sale of LPG and kerosene at controlled prices. The government has already freed pricing of petrol and diesel.
In the global commodities markets, Brent for June 2019 settlement was up 29 cents at $70.63 a barrel. The contract rose 94 cents, or 1.35% to settle at $70.34 a barrel during the previous trading session.