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Australian media said Phi Finney McDonald, a specialist class action law firm, had been approached by institutional investors from around the world.
The firm has separate shareholder actions under way against the Commonwealth Bank and AMP after the Hayne Royal Commission, which delivered a damning report on the Australian finance sector early this year.
Last month, Australia's anti money-laundering and terrorism financing regulator Austrac applied to the Federal Court for civil penalty orders against Westpac, alleging more than 23 million contraventions of the law.
This week, Australia's banking watchdog, the Australian Prudential Regulation Authority, ordered Westpac to set aside an additional A$500 million ($521) in capital as an investigation gets under way that could end in hefty fines against the 200-year-old bank.