At about 1200 GMT, US benchmark West Texas Intermediate for delivery in March was up 11 cents at USD 32.41 a barrel.
Brent North Sea crude for March grew 36 cents compared with Wednesday's close to stand at USD 33.46.
Prices slid in earlier Asian trading hours, a day after official data revealed that US commercial crude stockpiles had climbed to a record level, further stoking worries about global oversupplies.
Additional support for prices has come from market talk of a possible meeting of OPEC and non-OPEC oil producers, notably Saudi Arabia and Russia, aimed at limiting supplies of crude to help support a price recovery.
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Alexei Ulyukayev earmarked 750 billion rubles (USD 9.8 billion, 9.0 billion euros) in anti-crisis measures.
The Saudi-backed strategy is aimed also at pressuring Russia -- the biggest global oil producer -- and forcing fellow OPEC member Iran to trim output as Tehran looks to hike its own production after the lifting of Western sanctions.
Oil markets have been extremely volatile in recent days, soaring late last week from 12-year lows.
However, continuing worries about a supply glut, weak demand and the slowing global economy have returned to the fore.
Rising inventories typically signal weak demand in the world's top oil consuming nation and puts further downward pressure on prices in a saturated market.
"We remain slightly sceptical of further (price) increases," Phillip Futures analyst Daniel Ang said in a market commentary.
Ang said a slight weakening of the dollar after the US Federal Reserve left interest rates unchanged Wednesday could have limited the decline, but added the oil price support "should not last for long".