Found a pic of the Steyr Puch engine .They didnt use the Fiat twin ,but a flat twin of there own ,wouldnt be suprised if it had some BMW motorbike heritage. This one was 817cc ,but I see they went as much as 950. The car had some competition success
Monte Carlo Rally, If I remember. I had a Fiat 500 about 40 odd years ago--lot of fun.