I think I've found out what the problem was.
After having talked to someone here in Portugal, who was having the same problem, he said he found out the problem came from the Onstar device. Since we don't have that here, I googled how to disconnect it (which I saw many people complaining from battery drain associated to onstar also), and I found a sheet, saying what fuse to take out. I took it out, and it's now disconnected.
I've left my car off for 48h, and when I started the engine, it started just fine, usually it had a little difficult turning on the engine, due to low battery, so I think I finally found the problem.
Just leaving it here, for other people who might find this topic, and have this same problem.
Regards