We're quick on this board!
If you're car is new, it's not likely
to be a battery issue. (I had this
with my old 147)
The only thing to do is ask you Alfa Garage
to use their computer to find the problem.
It could be a number of things. (e.g. Capteur)
It is, after all, under garantie. Good luck !
I've not seen the bluetooth kit for the 147
If it is like the one on the Brera then
once you have "paired" the car to the phone,
it should synchronise the car phonebook
everytime you connect. It does sound like
a fault in the car.
What happens when you press the Green & Red