42 C.F.R. § 433.310
(a) General rule. Except as provided in paragraphs (b) and (c) of this section, the provisions of this subpart apply to—
(b) Third party payments and probate collections. The requirements of this subpart do not apply to—
(c) Unallowable costs paid under rate-setting systems.
(1) Unallowable costs for a prior year paid to an institutional provider under a rate-setting system that a State recovers through an adjustment to the per diem rate for a subsequent period do not constitute overpayments that are subject to the requirements of this subpart.
In such cases, the State is not required to refund the Federal share explicitly related to the original overpayment in accordance with the regulations in this subpart. Refund of the Federal share occurs when the State claims future expenditures made to the provider at a reduced rate.