* OPEC, Russia may agree next week to raise output
* OPEC split with some producers opposing increase
* Saudi, Russia could act alone to raise output
* U.S. crude production hits record high of 10.9 mln bpd (Updates prices in paragraph 2)
LONDON, June 14 (Reuters) - Oil prices steadied on Thursday, but still faced pressure from evidence of rising U.S. output and uncertainty over the outlook for supply before a meeting next week of the world's largest exporters.
Benchmark Brent crude oil was up 10 cents at $76.84 a barrel by 1320 GMT, while U.S. light crude was 45 cents higher at $67.09.
Brent hit a high of $80 a barrel in May but has since drifted lower, indicating investors expect the market to become better supplied in the next few months as U.S. crude production rises and as key Middle East exporters and Russia pump more.
U.S. crude output has risen almost 30 percent in the last two years to a record high of 10.9 million bpd. Russia pumped 11.1 million bpd in the first two weeks of June, above Saudi Arabia, which produced slightly more than 10 million bpd.
The Organization of the Petroleum Exporting Countries and other big producers meet on June 22-23 in Vienna to discuss production and are widely expected to agree to higher output.
"A wait-and-see approach is taking hold across the energy complex as market participants buckle down ahead of next week's crunch OPEC/non-OPEC meeting," said Stephen Brennock, analyst at London brokerage PVM Oil Associates.
The surge in U.S. output has put pressure on other producers, which are losing market share.
Russian and Saudi production has been held back voluntarily since 2017, when OPEC, together with a number of other producers, began supply cuts of 1.8 million bpd to prop up prices.
But, with Brent prices up by around 180 percent from their 2016 lows and demand strong, OPEC and Russia may soon end their supply cuts.
Saudi Arabia and Russia are understood to favour higher production to steady prices and some analysts say they could decide to pump more on their own if OPEC does not agree to increase production as a bloc.
Saudi Energy Minister Khalid al-Falih said on Thursday he expected a reasonable and moderate agreement next week when OPEC and non-OPEC oil producers meet.
Falih, on a visit to Moscow to attend the World Cup, where the Russia and Saudi Arabia national soccer teams will play on Thursday, is due to meet Russian Energy Minister Alexander Novak and President Vladimir Putin before the game.
U.S. crude inventories <C-STK-T-EIA> fell by 4.1 million barrels, more than anticipated, to 432.4 million barrels, last week, the U.S. Energy Information Administration said.
(Additional reporting by Amanda Cooper in London and Henning Gloystein in Singapore; Editing by Dale Hudson and Edmund Blair)