What purpose do you think a battery serves? What do you mean by your comment " So driving a car every weekend or even every 15 days will drain out the battery?" Does driving a car in your country paying 8,4$ per gallon have a different effect on a battery than driving a car in the US at 3,85$ per gallon?
Did you know that you can buy brand spanking new batteries that are defective? Yep...right off the shelf! I understand that your alternator is showing 13-15 volts (was that reading from the gauge inside the car or from a voltmeter checked at the alternator)and is possibly not bad but you should have it checked. The reason I say that is because once you get your engine cranked and running (despite how much fuel costs, despite owning a Fiat, despite bad alternator bearings, despite all else) unless you cut off air, fuel or fire that engine will sit there and run. Your car doesn't need a battery to keep the engine running. As long as the alternator is charging you can throw the battery away once the engine is cranked.
I mean that I bought this car knowing that i cannot drive it every day (because of the gas price...), so I bought also a 900A battery that will aid starter to crank this big engine easily, and also because this kind of batteries are built to support long periods without charge. A normal lead battery can last very few time if used only every 15 days or every month. I KNOW that this is NOT relevant for the engine, and i KNOW the battery works fine, because i've used it in my Bravo for some time (waiting another battery to replace its one).
Today I wire a charger to the battery while I'm searching for the problem, and it happens also with the charger wired to the battery. It seems that every electrical device i turned on will drain lots of power, then "something" BLOCK the entire system for a while. I start to disconnect gauges and devices on the dashboard, and the issue repeats itself like i've done nothing. I also disconnect the alternator: same story...
Now if I crank the engine, it starts regularly. If i turn on the radio, it works. If i turn on the signals, the "hazard", lights, horn... voltmeter drop to zero and the "buzz" stop to make noise. With the engine on and the alternator regularly wired, doing the same things will drop the voltmeter slowly. If I maintain the engine revs up, the voltmeter don't drop. So the alternator and the battery seems to be OK...
Tomorrow i will check cables in the engine bay.
PS: i've found the purpose and the locations of the two unplugged wires on the front. One has falled from the low beam connector, other one is a ground. Now all the front lights works... so it remains only the "master" problem to resolve.