It seems to me from the description of the steering swinging out with the
front opening door, that you are in fact describing not a FIAT but a BMW
ISETTA.
This was an Italian design but German built car with a 300 cc air cooled
single cylinder.       I owned 2 years ago in the UK.       As it had 3
wheels you had to pay only motorcycle road tax.      It was practical
transportation but I nearly rolled it several times.

I have also owned FIATs and have enjoyed them .      The car that I have
owned that was the most fun to drive was in fact a FIAT 128 coupe.     Drove
just like a go kart!

Memories from the past!

Steve Cotsford

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