ibox.tim.it VS wap.tim.it
Those are the "APN" Access Point Name, in a nutshell are the access points to the Internet Mobile, allowing you to navigate configuring them with any mobile operator.
The difference between the two APN that TIM - TELECOM MOBILE ITALY enabled, which serves ibox.tim.it sopprattutto for plans with internet rate for keys or tablet, and for those with a latest generation smartphone to navigate and operate in either subscription plans with both rechargeable.
Instead wap.tim.it, APN is the oldest and most widely used, in fact TIM still uses it in various options, yet activated. The WAP system, it is excellent and most of the most suitable for cell-standing.