Some Fiats have an impact cutoff switch that has been known to
give this problem, devil to diagnose unless you suspect it, don't
know if affects this model.

http://www.fiatforum.com/ is an extensive technical reference
for problems with most Fiat models, and sorting obscure
faults like this.

fiat punto mia 2001 y reg wont start after 30 mins when done alot of
driving . and has cut out at lights twice n wont start again. fuel
injection warning light has came on a couple of times but then gone off
again so comp cant find fault in garage. please help.