* Brent crude oil falls for 2nd session on expected higher supply
* US summer driving season may reduce inventories
* Market eyes possible move by Opec to boost world supplies
Brent crude oil futures slid for a second session on Monday as the market was weighed down by a climb in US output to a record-high and expectations that Opec members will raise supplies.
Global benchmark Brent was down 10 cents, or 0.1 percent, at $76.69 a barrel by 0652 GMT.US West Texas Intermediate (WTI) crude futures were unchanged at 65.81 a barrel. Last week, WTI lost around 3 percent, adding to a near 5-percent decline from a week before.
"Crude oil remained under pressure as the market remained focused on the discussion between Opec members about whether they should increase production later this year," ANZ said in a note.
"In the US, the data also presented a gloomy picture. Crude oil production rose to another record, while drilling activity picked up again."
Saudi Arabia, effective leader of the Organization of the Petroleum Exporting Countries (Opec), and Russia have discussed boosting output to compensate for supply losses from Venezuela and to address concerns about the impact of US sanctions on Iranian output.
Russia's largest oil producer Rosneft will be able to restore 70,000 barrels per day (bpd) of oil output in just two days if global production limits are lifted, Renaissance Capital wrote in a client note.
US crude production climbed in March to 10.47 million barrels per day (bpd), a monthly record, the Energy Information Administration said on Thursday.
"We are going into summer, the high demand season, and I think we are going to see a fall in US crude oil inventories, but shale oil output is growing. Which one is going to win is the issue," said Tony Nunan, oil risk manager at Mitsubishi Corp in Tokyo.
US drillers added two oil rigs in the week to June 1, bringing the total to 861, the most since March 2015, General Electric Co's Baker Hughes energy services firm said on Friday. That was the eighth time drillers have added rigs in the past nine weeks.
Hedge funds and other money managers cut their bullish wagers on US crude futures and options, according to data released on Friday, as oil prices slumped on oversupply fears.
The speculator group cut its combined futures and options position in New York and London by 50,937 contracts to 370,980 during the week to May 29, the US Commodity Futures Trading Commission said.
