Mazda recalls over 2 million vehicles. REUTERS/Mario Anzuoni

Mazda Motor Corp. is recalling more than 2 million of its vehicles across the globe over issues that could arise from potentially faulty rear gates and computer problems associated with some diesel engines, according to a new report. Two models in particular — a sedan and an SUV — are affected with the car company's latest recall in addition to a separate recall announced earlier this week for a different SUV.

The recall announced Thursday is for the Mazda 3 sedan and the CX-3 compact SUV, both of which could have rear gates susceptible to corrosion and perhaps breakage with exposure to salt, CNBC reported. Nearly 2 million of the vehicles outside of the U.S. are also being recalled for the same reasons.

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In the U.S., the Mazda 3 and the CX-3 are among certain models that may have problematic computer systems that could adversely affect the vehicles' diesel engines, though it was not immediately clear what the exact issue was.

Mazda announced Monday that it would also be recalling nearly 200,000 of its CX-7 SUV models because of a steering control flaw that could potentially be dangerous, including the chance of ball joint fittings being corroded from salt during the winter months, the Associated Press reported.

While repairs are being offered free of charge for all cars affected by the recalls, refunds are not quite as simple, though they are possible.

"If you happen to discover an issue and have it corrected and a recall is later issued for that same item, you’ll be eligible for a refund—as long as you present a receipt for the work having been done at an authorized Mazda dealer service department within 10 days of the first mailing of the recall notice," Mazda wrote on its website. "Or, return the reimbursement form that was included with the recall letter, with the repair documentation."

The company has set up an official "recall information center" online for drivers with questions about the current recall or any of its past recalls for potential issues with other vehicles.

Mazda recalled nearly 200,000 additional vehicles last year over the loss of steering control. That recall affected cars and SUVs manufactured between 2007 and 2014. The Japanese automotive company was also a part of the massive Takata airbag recall that affected about 5 million cars of all makes and brands worldwide.