8 C.F.R. § 1240.34
An adjustment application by an alien paroled under section 212(d)(5) of the Act, which has been denied by the district director, may be renewed in exclusion proceedings under section 236 of the Act (as in effect prior to April 1, 1997) before an immigration judge under the following two conditions: first, the denied application must have been properly filed subsequent to the applicant's earlier inspection and admission to the United States; and second, the applicant's later absence from and return to the United States must have been under the terms of an advance parole authorization on Form I-512 granted to permit the applicant's absence and return to pursue the previously filed adjustment application. In a relevant case, the immigration judge may adjudicate the sufficiency of an Affidavit of Support Under Section 213A (Form I-864), executed on behalf of an applicant for admission or for adjustment of status, in accordance with the provisions of section 213A of the Act and 8 CFR part 213a .
8 C.F.R. §1240.34