At 1830 IST in London, Brent North Sea crude for delivery in February was up 12 cents at USD 36.74 a barrel.
US benchmark West Texas Intermediate (WTI) gained 11 cents to USD 36.92 compared with yesterday's close.
The market struggled today, one day after major crude exporter and OPEC kingpin Saudi Arabia cut subsidies on fuel, power and water to counter the impact of plunging oil prices on its finances.
Riyadh posted a deficit of USD 98 billion (89 billion euros) in 2015 after a sharp decline in oil revenues.
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"The Saudi budget ... Reinforced the 'lower for longer' sentiment in that market," said analyst Augustin Eden at traders Accendo Markets, in reference to OPEC's Saudi-backed policy of pushing oil prices lower to hurt non-OPEC producers.
The swift action to cut subsidies was unexpected, even if there had been no doubt Saudi Arabia would post a deficit this year as oil prices have dropped below USD 40 a barrel since mid-2014.
Prices then attempted to rally but tanked Monday on downbeat Chinese and Japanese data, alongside a Saudi budget plan that suggested the petroleum-exporting giant was planning for oil prices to stay low.
"Oil prices ... Have stabilised and that's stopped the rot for now, but the headlines are all about the Saudi fiscal response to the sustained weak price," added Societe Generale analyst Kit Juckes.
Trading volumes were meanwhile thin with many investors absent for an extended holiday break.
And earlier this month, OPEC refused again to slash record high output at their latest gathering.
The plan is aimed at pushing oil prices lower in order to squeeze less-competitive players, including US shale producers, out of the market.
Saudi Arabia is the biggest oil producer in the Organisation of the Petroleum Exporting Countries, whose 13 member nations pump about 40 percent of the world's crude.
Daniel Ang, an investment analyst with Phillip Futures in Singapore, said the price weakness could also have been sparked by data showing Japanese industrial production fell 1.0 per cent in November from a month earlier.