if denied again can he apply for a permit or visa to visit us in the united states
There is no new law.
It appears that you are referring to a new procedure, called a Provisional Waiver, using Form I-601A, from USCIS.
The Provisional Waiver procedure will help certain people who are now in the United States who have U.S. Citizen spouses and/or parents and whose ONLY ground of inadmissibility is unlawful presence in the United States.
If your family member is in Mexico at this time, then the Provisional Waiver will not be available to him.
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