Top oil officials from major producers Venezuela and Saudi Arabia are set to hold a rare bilateral meeting later on Wednesday as OPEC member countries grapple with a continuing price slump.

Venezuelan foreign minister Rafael Ramirez--until recently head of state energy giant Petroleos de Venezuela, or PdVSA, and still his country's OPEC representative--and Saudi oil minister Ali al-Naimi usually meet only at scheduled gatherings.

But their meeting on the sidelines of a climate conference on the Venezuelan resort island of Margarita is sign of the pressure on the Organization of the Petroleum Exporting Countries following oil's more-than 25% drop since the summer. The exact timing of the meeting is yet to be confirmed.

The two countries hold opposing attitudes to oil's slump. Venezuela's public finances are reliant on high prices while the Saudis are reluctant to take steps to help support prices by cutting its oil output. This week Saudi Arabia cut the price at which it sells its crude to the U.S.--a move seen as an effort to maintain market share for its exports there.

Mr. al-Naimi had long planned to attend the Venezuela conference, but the private meeting with Mr. Ramirez was only added to his agenda recently, according to people familiar with the situation.

But if Mr. Ramirez is hoping the meeting will yield action by the OPEC kingpin, he will likely be disappointed, Saudi officials said.

"The message is going to be clear, and will be repeated again in the OPEC meeting: Saudi Arabia is not going to act as swing producer," one of the officials said.

During past oil price slumps, OPEC has acted collectively to rein in production to support prices. This time its influence over the market is limited because much of the oil flooding the market comes from booming shale oil production in the U.S., outside the producer group's control. That's also left OPEC members reluctant to cut their output in an increasingly competitive environment.

"[Mr.] al-Naimi is going to explain to [Mr.] Ramirez that not much can be done at the moment and it is a cycle the market is going through," said another Saudi official.

Of all of OPEC's members, Venezuela has been the most vocal about the rapid slide in oil prices since June, making an unheeded call for an emergency meeting of the producer group last month.

Even before oil prices plummeted this summer, Venezuela was battling a weak economy, but the steep drop in the commodity that makes up to 96% of the country's export revenues has compounded the economic challenges it faces. President Nicolás Maduro has seen his popularity plummet to a record low, polls show, as dollar shortages have led to a precipitous decline in the value of the local bolivar currency and contributed to scarcities of food and consumer goods.

The average price of OPEC's oil fell to its lowest level since October 2010 earlier this week, sliding to $78.67 a barrel, according to data from its secretariat published Wednesday. Deutsche Bank estimates Venezuela needs a much higher oil price of $121 a barrel to balance its annual budget, one of the highest break-even prices in OPEC.

Saudi Arabia requires a lower oil price to balance its budget and has a healthier economy that could endure lower oil prices for longer. By far the most powerful member of OPEC, the Kingdom has remained quiet about the steep drop in oil prices.

That silence is contributing to a rift emerging within the producer group ahead of its next semi-annual meeting later this month. Other OPEC members besides Venezuela, such as Libya, have called for a reduction in the group's output to help support prices but Saudi Arabia has made it clear it will not act alone.

Write to Summer Said at summer.said@wsj.com, Kejal Vyas at kejal.vyas@wsj.com and Sarah Kent at sarah.kent@wsj.com

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