Brent crude futures inched down 4 cents to $64.58 by 0615 GMT.
US crude was up by 22 cents, or 0.4 per cent, at $58.03 a barrel.
Cottonseed oil cake prices on Thursday edged up by Rs 2 to Rs 2,079 per quintal in futures trade.
The world's leading vegetable oil buyer, had imported 8,11,700 tonne palm oils in December 2018.
US crude was up by 39 cents, or 0.7 per cent, at $58.20 a barrel.
Crude oil prices, however, may get some boost from phase one of US-China trade deal.
Brent crude was down 16 cents, or 0.3 per cent, at $64.33 per barrel
West Texas Intermediate crude oil traded 0.27 per cent lower at $58.07 per barrel.
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