Brent crude was down 15 cents at $55.73 while US crude was also lower, dropping 5 cents to $52.72.
Brent crude was up 76 cents, or 1.2%, at $61.67 a barrel by 01:04 GMT while US oil rose 74 cents, or 1.3%, to $59.98 a barrel, having fallen 0.4% last week.
US West Texas Intermediate (WTI) crude futures dropped 72 cents, or 1.1%, to $62.81 a barrel at 05:16 GMT while Brent crude futures for April, which expires on Friday, fell 63 cents, or 0.9%, to $66.25 a barrel.
Both benchmark contracts hovered around unchanged levels after having jumped on Wednesday after the US Energy Information Administration reported a sharp, unexpected 10.6 million barrel drop in crude stockpiles last week.
Brent crude futures slid 27 cents, or 0.6%, to $43.25 a barrel by 0642 GMT. US West Texas Intermediate (WTI) crude futures were down 34 cents, or 0.8%, at $39.93.
US West Texas Intermediate (WTI) crude futures eased 4 cents, or 0.1% to $40.97 a barrel at 0655 GMT, while Brent crude futures fell 11 cents, or 0.3% to $44.04 a barrel.
Brent crude was up by 31 cents, or 0.7%, at $44.74 a barrel by 0713 GMT. The contract rose 0.6% on Wednesday to its highest close since March 6. West Texas Intermediate oil was up by 26 cents, or 0.6%, at $41.96 a barrel. The contract ended Tuesday trading 1.7% higher, its highest close since late July.
The global oil demand remains resilient and points at signs for optimism but we still need to focus on costs, said Dr Sultan Ahmed Al Jaber, UAE Minister of Industry and Advanced Technology and Group CEO of the Abu Dhabi National Oil Company
Brent crude futures for January rose 22 cents, or 0.5%, to $43.97 a barrel by 07:33 GMT, while US West Texas Intermediate crude for December climbed 6 cents, or 0.1%, to $41.49 a barrel.