With global oversupply still dictating price trends, West Texas Intermediate for delivery in January was up two cents at USD 36.33 by 0330 GMT, while Brent crude for January dipped four cents to USD 37.88.
WTI had fallen briefly in New York below USD 35 a barrel, the lowest levels since February 2009 during the global financial crisis.
Ted Sloup of iiTrader.Com called the rebound "a healthy correction" in a technically oversold market but added that the mood was "still very bearish" as investors continued to worry about global oversupply.
"Oil prices will remain anchored by oversupply," it said, predicting that the global surplus "will only narrow significantly post-2018."
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Prices have fallen more than 60 per cent from levels above $100 in June last year owing to slack global demand and a slowdown in key markets including China.
Also, the world market is awash with the commodity as the OPEC exporters' group refuses to cap production in a move to preserve its market share, while Iran is expected to restart pumping its own crude for shipment in 2016.