The move is the latest in a long legal battle between the supplier and Apple.
The majority of Apple's iPhones are manufactured in China, and Qualcomm has filed lawsuits in that country that seek to have production halted and ban all sales.
The two companies are months into a legal dispute that centers on Qualcomm's technology licensing business.
There are three patents in question that Apple supposedly infringed on, with the biggest having to do with the technology used for Force Touch on all iPhone models since the 6S (minus the iPhone SE).
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Qualcomm spokeswoman Christine Trimble has told the publication that the company has filed the suits in a Beijing intellectual property court claiming patent infringement and seeking injunctive relief.
Apple, of course, says the claims by Qualcomm have no merit. Qualcomm charges a percentage of the price of each handset regardless of whether it includes a chip from the company, and Apple is sick of paying those fees.
Although Apple doesn't use Snapdragon processors in its iPhones, it's still on the hook for numerous patents Qualcomm owns. Canaccord Genuity Analyst Mike Walkley says that there's little to no precedent for the Chinese court to take action at the request of an American company.
Between the $2 billion in licensing fees Apple is refusing to pay and the $773 million fine from Taiwan's Fair Trade Commission, Qualcomm is now looking at an empty dinner plate. Apple also has asked iPhone and iPad manufacturers not to pay royalties to Qualcomm for failing to offer its standard essential patents in a fair, reasonable and non-discriminatory manner. All we know right now is that this legal fight won't end anytime soon.