Found some update on Rajivs Website
Q6 If an H or L nonimmigrant has traveled abroad and reentered the United States using advance parole, the alien is accordingly in parole status. Can the alien now apply for an extension of nonimmigrant status?
A6 No. The person was paroled into the United States and, therefore no longer has an H-1 or L-1 nonimmigrant status in the United States to extend or change. As a parolee, the alien must obtain an EAD in order to be employed, regardless of employer.
Nonetheless, there is nothing that prevents the employer from requesting an extension of the nonimmigrant visa petition. If the aliens’ activities have otherwise been consistent with those of an H-1 or L-1 nonimmigrant, s/he may use an existent nonimmigrant visa or secure another overseas and then reenter the United States as an H or L nonimmigrant. The fact that the alien-beneficiary is an applicant for adjustment will have no effect on admissibility if the alien is otherwise admissible.
[Index] [Compiled by Law Offices of Rajiv S Khanna]