Evening Flint
looks like you dont have a battery cover by the dirt on the fusebox?, typical stilo battery fuseboard. gets dirty/wet and then corrodes the tracks and layers causing what you have.
your best bet would be to if you have time take the fuse box out and apart see and give it a clean, i done my last 2 Stilos, once you get the first "layer/card" off you know what to expect. theres a guide here:
https://www.fiatforum.com/stilo-guides/313986-how-clean-dry-out-fuse-box-near-battery-gars2.html
or get one from ebay, try to get one from the same year/spec as they changed on the newer Stilo's 04 i think onwards.
EDIT-there are plugs on the bottom that connect to the fusebox be worth checking if they are on right.
Paul
