The move is believed to be the first legal action in Europe connected to the $50bn fraud scheme allegedly operated by Mr Madoff.
Separately in New York, a US judge has ruled that Mr Madoff can stay out of jail while he awaits his trial. US magistrate Judge Ronald Ellis denied prosecutors' requests to jail him pending trial because he posted packages containing more than $1m in jewellery and other assets to friends and family members.
Karine Vilret Huot, lawyer for an unnamed French investor, said that the assets of an account held by the UBS subsidiary in Luxembourg on behalf of Luxalpha were frozen by a judge there several days ago.
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