Three years on from the original post and this problem sounds almost identical to what's been happening to my 2.2 Brera for the last few weeks. Did you ever find out what the problem was? Or has anyone else had anything similar hapen to them?
Engine doesn't start on first attempt when cold in the morning, but will always start second time. It is then fine for the rest of the day.
On trying to start, the engine will crank and fire as if normal, but then die after about a second. It will carry on cranking for as long as you hold the start button, but will not fire again. Second press of the start button and she starts fine.
If anyone has any suggestions I'd be really grateful. I thought I'd post here first before heading to the garage as I imagine this is the kind of problem that would be a pain to find!