Thursday after falling in the previous session when official data showed United States (US) stockpiles of products like gasoline rose sharply last week, suggesting weak demand during the peak driving season.
Brent crude futures were up 13 cents, or 0.2 per cent, at $63.80 a barrel by 0237 GMT. They fell 1.1 per cent on Wednesday.
US West Texas Intermediate (WTI) crude futures were down 1 cent at $56.77. The US benchmark dropped 1.5 per cent in the previous session.
Oil prices have fallen this week as worries over a Middle East conflict have eased, oil production in the Gulf of Mexico has resumed after a storm and worries have emerged over Chinese economic growth.
