Approaching midday in London, Brent North Sea crude for delivery in February stood at USD 36.43 a barrel, up eight cents compared with yesterday's close.
On Monday, Brent slumped to USD 36.04 -- the lowest level since July 2004.
Elsewhere today, US benchmark West Texas Intermediate (WTI) for delivery in February was 22 cents higher at USD 36.03 a barrel.
Crude futures are heading for a second annual loss on signs that a global glut will be prolonged as OPEC seeks to maintain market share in the face of fierce competition from North American shale oil producers.
"It's all about market share and bravado at the moment," Jonathan Barratt, chief investment officer at Ayers Alliance Securities in Sydney, told Bloomberg News.
Crude prices have sunk more than 60 per cent from above USD 100 in summer 2014 owing to the oversupply as well as weak oil demand growth, a global economic slowdown and a strong dollar.