They said her arrest was an abuse of process and that her rights were violated when she was detained late previous year, and that US President Donald Trump's "corrosive" comments were evidence that the case was politically motivated.
Meng's lawyers called for the Canadian court to reject the request as the charges against her are not considered a crime in Canada.
But Meng's defence lawyers have filed a document to a Canadian court stating they intend to fight attempts to extradite the executive to the US, Reuters reported.
On Wednesday, Meng's lawyers raised Trump's comments as proof that the case was politically motivated, describing them as "intimidating and corrosive to the rule of law".
Meng claims that Canada violated her constitutional rights when officers detained and questioned her for three hours at Vancouver International Airport before notifying her of her arrest.
She stands accused of violating US trade sanctions against Iran by allegedly misrepresenting Huawei's ownership and control of a company doing business in the Middle Eastern country. "We have maintained that her USA -ordered arrest was an unlawful abuse of process - one guided by political considerations and tactics, not by the rule of law", he said.
He also said Canada should take China's staunch position seriously and immediately release Meng, letting her return to China safely.
"This case is about an alleged misrepresentation made by Ms. Meng to a bank that they relied upon, and in so relying, put their economic interests at risk", Gibbs-Carsley said.
The Supreme Court approved Meng's petition to modify her bail terms, which included a request to move from her current C$5 million ($3.71 million), six-bedroom residence near a park to an estate more than triple the size in one of Vancouver's fanciest neighborhoods.
But Meng is set to next appear in court on September 23, when her defense team will make more applications for further disclosure surrounding her arrest at the airport.
Speaking in Beijing on Thursday, Chinese Foreign Ministry spokesman Geng Shuang again demanded Meng's release and return to China.
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The vessel capsized about 40 nautical miles off the coast of Sfax, some 270 kilometres south of Tunis. The IOM official said the migrants were being questioned and cared for by Tunisian authorities.
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On Wednesday, the governing body of world soccer announced that its appeal committee had "decided to partially uphold the appeal". It's not easy, because the level of the top two is very, very high. "I think we have to buy only one or two players".
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Robert Johnson, professor of finance at Heider College of Business, Creighton University in Omaha, Nebraska said. Moreover, smaller rival Lyft Inc's shares plunged this week after its first earnings as a public company.
Ms Meng appeared on Wednesday in a Canadian court for a pre-extradition hearing, during which her lawyers argued that the case against her is flawed. Meng has been under house arrest since December.
Huawei has insisted Meng has done nothing illegal.
The finance chief's lawyers are also seeking additional disclosure about the details of the US case.
The case has set off a diplomatic furor, with China's embassy calling it a "political persecution".
Meng arrived in court dressed in all black.
Huawei is also in the U.S. crosshairs as Washington seeks to convince Western nations to shun the telecom firm over security concerns.
Washington wants to put Meng on trial on fraud charges for allegedly violating Iran sanctions and lying about it to U.S. banks, but the case has become a major irritant for Ottawa.
The relocation is sure to deepen the anger of some Canadians at the difference in her lifestyle and how two Canadians are being held in a Chinese detention centre, said Paul Evans, a professor at the University of British Columbia's School of Public Policy and Global Affairs.
Gibbs-Carsley said the Attorney General supports Meng's request to adjust her bail conditions to accommodate the move.
In recent weeks, China has upped the pressure on Canada and halted Canadian canola imports and suspended the permits of two major pork producers.