The unnamed husband and wife from London are suing over claims they negotiated a deal with Yune, who played gang leader Johnny Tran in the 2001 blockbuster, to buy 10 Hermes Birkin handbags in October 2011.
According to the new lawsuit, filed in Los Angeles County Superior Court, the plaintiffs allege they wired $198,000 (£124,000) for the first eight bags, and promised to pay him another $95,000 (£59,000) for the final two accessories upon delivery.
The couple claims the purses were never received and Yune failed to return the cash, but a spokesperson for the star has denied their allegations - insisting the bags were delivered to one of the pair's employees, who may have taken them.
The representative tells TMZ.com, "Rick is not only a very successful actor and businessman, he is one of the most honest people out there. It's a shame someone is trying to tarnish his name and he has fallen victim to a scam."