Reviving NSEERS seems to have been mentioned or speculated as a possibility. It was used from 2002 to 2011, but was deactivated in 2011 by removing all source countries from the list after it was found to be ineffective (0 terrorism related convictions out of 93,000 cases generated).
https://www.aclu.org/blog/speakeasy/homeland-security-suspends-ineffective-discriminatory-immigration-program
https://en.wikipedia.org/wiki/National_Security_Entry-Exit_Registration_System