Galaxy S3 international user here, while I had no problem homepassing with the stock 4.1.2 Rom I started having problems when I've installed cyanogenmod 10.2 nightly (android 4.3)...but, finally, today I've made it work!
-Galaxy S3 international
-Cyanogenmod 10.2-201391009-NIGHTLY-I9300
-Wifi...