Once ICE takes someone into custody, they have to allow a person a free phone call to anywhere in the United States. A person is allowed to make a call of 3 minutes, longer if the officers allows.
Once at the jail, a inmate has access to a phone system that allows him to make sure free calls (not friends or family) and other calls are placed in the jail like anyone else being held. Mostly these are collect or they buy a calling card. The biggest problem for aliens is having family members who have told their phone service providers to block collect calls.