Both benchmarks rose to their highest levels since May 31 in the previous session, buoyed by a rally in U.S. gasoline futures after earlier support from OPEC's latest efforts to cut exports and a sharp fall in U.S. crude inventories.
"Crude oil prices rose further as the focus remained on fundamentals. This week's better-than-expected inventory drawdown in the United States continued to support prices," ANZ bank said in a note.
U.S. crude stocks fell sharply by 7.2 million barrels in the week to July 21 due to strong refining activity and an increase in exports, according to data from the Energy Information Administration (EIA).
"Following seasonal norms we expect further declines in crude inventories over August and September," BMI Research said. Brimming U.S. crude supplies have been a challenge to production cuts to prop up prices led by the Organization of the Petroleum Exporting Countries.
U.S. crude oil production has been on the rise since mid-2016, but it dropped to 9.41 barrels per day (bpd) in the week to July 21, from 9.43 million bpd the week before. The decline was mainly due to a fall in Alaskan output, ANZ bank said.
Jeffrey Halley, senior market analyst at OANDA, said the market would watch U.S. rig count data for further signs of slowing drilling activity, as well as potential U.S. sanctions on Venezuela's oil sector.
"Both developments should be bullish for oil," he said.
Oil prices have been supported by a further agreement between OPEC and some non-OPEC members to limit Nigerian oil output and encourage several members to comply with their pledged production cuts.
Since the world's major oil producers held a meeting in St Petersburg on Monday, crude prices have risen some 6 percent on expectations of deepening cuts.
Saudi Arabia, OPEC's de facto leader, said it planned to cap crude exports to 6.6 million bpd in August, about 1 million bpd below the level last year.
Reporting by Jane Chung; Editing by Joseph Radford and Richard Pullin