The agency's brief is believed to focus on the classic Aviator and Wayfarer lines. Luxottica is understood to be concerned about competition from cheap high-street copies and similarly priced products from fashion labels.
It is also keen to capitalise on the brand's 70th anniversary next year.
The Aviator range was Ray-Ban's first product in 1937 and the Wayfarer became the design of choice among successful businessmen in the 1980s.
Neither Luxottica nor TFCS would comment on the hire. Rogers & Cowan is Ray-Ban's US agency.