CARACAS--Saudi Arabia's Oil Minister Ali al-Naimi will make a rare trip this week to Venezuela, according to people familiar with the matter, as the South American nation's struggling economy endures a sustained drop in oil prices.

Mr. al-Naimi will hold a private meeting on Wednesday with Venezuelan Foreign Minister Rafael Ramírez, who until recently served as the country's powerful oil czar and head of state energy giant Petróleos de Venezuela, or PdVSA, diplomats said. The meeting will take place on the Caribbean resort island of Margarita where Venezuela is hosting a climate conference, the diplomats added.

Venezuela last month said it wanted to call for a meeting of the Organization of the Petroleum Exporting Countries to discuss the steep drop in the price of the commodity that accounts for 96% of the country's exports.

The price decline adds a new layer of discomfort for President Nicolás Maduro, whose popularity has been eroded by a weak economy hit by dollar shortages that have forced the government to cut back on imports by a third in the last two years.

Venezuela has had to ration scarce greenbacks and has billions of dollars in unpaid debts with private companies that service its economy, ranging from airlines to food importers to oilfield-service providers. Many companies have cut back on business activity resulting in chronic shortages of basic goods such as cooking oil and car batteries, in a country that relies on imports for some three-quarters of what it consumes.

The situation has also led Wall Street analysts to speculate whether Venezuela has enough hard currency to pay off holders of its sovereign and PdVSA bonds. Venezuelan officials say that the country has the resources to meet all of its obligations.

The World Bank expects Venezuela's economy to contract by 3% this year, lagging the rest of the region.

Write to Kejal Vyas at kejal.vyas@wsj.com

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