Hi Siperkin,
Thanks for your help, I didn't know this app.
Using it, I found at that my phone keeps communicating with an IP address like 66.102.9.103 or 66.102.9.xxx, which is, I found out, GOOGLE in California...

The protocol used are:
* TCP (https > [ACK] Seq=1274 Ack=5793 Win=17424 Len=0 TVS=82081)
* TLSv1 (Application data OR client Key Exchange, change cipher spec, encrypted handshake me)

So could it be from my Gmail addresses that I have set up in my email program? I disabled the automatic updates though...

The other "google" apps I have are Google voice plugin, Google talk (disabled), Touchsearch and Dialcentral...

Any lead please?