Brent crude futures were up $0.12 at $63.51 a barrel by 1127 GMT. West Texas Intermediate (WTI) crude was flat at $57.80.
"It is still all about trade talks," said Michael McCarthy, chief market strategist at CMC Markets in Sydney. "It seems to be dominating markets action at the moment."
A move by China to protect intellectual property was also providing a supportive atmosphere for the trade talks, McCarthy added.
Analysts at Barclays said they saw Brent oscillating around $60 per barrel for the next two years.
US National Security Adviser Robert O'Brien said on Saturday that an initial trade agreement with China was still possible by the end of the year.
On Friday, US President Donald Trump and Chinese President Xi Jinping expressed a desire to sign an initial trade deal and defuse a 16-month tariff war that has lowered global growth.
Still, concern remains that events in Hong Kong, riven by months of anti-government unrest, could overshadow trade talk progress.
O'Brien warned on Saturday that Washington would not turn a blind eye to what happens in Hong Kong, where demonstrators were angry at what they see as an erosion of freedom.
The Organisation of the Petroleum Exporting Countries (OPEC) meets on December 5 at its headquarters in Vienna, followed by talks with a group of other oil producers, led by Russia, known as OPEC+.
The group is widely expected to extend its supply cut to mid-2020, although the market is keen to see deeper cuts.
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