He was recently quoted in Britain as saying that if Kia built a roadster, it would have to be rear-wheel-drive and also have a canvas roof.
"For me, a roadster doesn't have a folding metal roof that whizzes around your head. It has to be canvas," Schreyer said.
He only needs to wander through the Kia Motors museum at the R&D centre at Namyang, Korea, to get inspiration for such a car.
A bright red Kia Elan takes pride of place among the displays of past Kia models, among the few remaining examples of the British-designed sports car the company was licensed to build under its own brand in 1995 to sell in the Korean domestic market.
In place of the Lotus-Ford twin-cam 1558cc engine and later 1.6-litre Isuzu motor that were in the British-built Lotus, the Kia Elan was powered by its own "Hi-Sprint" 113kW, 1.8-litre, 16-valve, twin-cam engine and five-speed gearbox.
Kia has flirted with several soft-top sports car designs in recent times. These include the Kia KCV-3 Sport concept from the middle of last decade, the more recent Kia Cabrio concept, based on the European-only Kia c'eed hatchback, and the Kia Soulster, based on the Kia Soul CUV.