The statement said Meng sought, and was granted, a publication ban which prevents the department from releasing further details about the arrest.
The report states that Meng is accused of violating the current US trade embargo against Iran.
The investigation, launched by the Justice Department in 2016, alleges that Huawei had been shipping US origin products to Iran and the other countries in violation of USA export and sanction laws.
On its website, Huawei bills itself as "a leading global provider of information and communications technology (ICT) infrastructure and smart devices, with integrated solutions across four key domains - telecom networks, IT, smart devices, and cloud services".
In 2012, the House of Representatives released a report warning Huawei poses a national security threat to the USA, and American companies and its government should avoid doing business with the company.
Ms Meng is the daughter of Huawei's founder.
Huawei's head office was not immediately available for comment by late Wednesday, and its North America spokesman declined to comment on Meng's detention when contacted over the weekend.
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Like ZTE, Huawei relies in part on USA technology imports for its products, and per United States export regulations, those products are in turn prohibited from being exported to Iran and other restricted nations. If Meng has been arrested for violating these restrictions, then this would mark the start of another significant technology export regulation case for the US. "The company believes the Canadian and U.S. legal systems will ultimately reach a just conclusion", it said.
In 2011, the American government stopped Huawei from purchasing USA server technology company 3Leaf's assets, for national security reasons.
The Wall Street Journal notes that USA authorities want to bring Meng to federal court in the Eastern District of NY.
Most recently, the U.K.'s BT said it plans to remove Huawei equipment from its core network. Its equipment is banned in the United States and Australia and in the UK it is rigorously tested by the Government at a guarded facility.
The Chinese Embassy in Canada, however, is kicking up a diplomatic fuss.
Huawei itself has been increasingly on the rocks with the United States for the past year.