While most of the Supersport on chain were stopped, a group of cars were finished between the end of 1994 and 1995. What they have in common was that they are neither US nor European versions. Only the cars for the special specification markets were able to escape the lack of parts. However, it is likely that the parts for the interior came from the development cars of Reparto Esperienza, which served as a parts bank.

The Bugatti EB110 Supersport chassis SS35 was ordered via the Bugatti importer of Switzerland, the Chevalley group. The car was finished in Grigio Chiaro with a full GT interior, in one-tone Nero Inchios leather. As the car was in full Swiss configuration, it seems parts were available to complete it. The SS35 was used by the factory for the 1995 Geneva Motorshow to complete the "Record line up" of the Bugatti display, with the 'Ice Speed Record' car, the 'Greengas' car and the production Supersport car, that still had the world speed record for a production car at this time. The SS35 was kept by its first owner a very long time and was then sold, still in Switzerland.