Va. Code § 53.1-91
Each sheriff or jail superintendent shall collect from the counties, cities and towns of the Commonwealth, other than the county, city or region for which he is elected or appointed, and from any other state or country for which any prisoner is held in such jail, the reasonable costs of guarding, feeding, clothing, caring for and furnishing medicine and medical attention for prisoners held for such county, city, town, state or country, to be determined by agreement with the governmental unit involved, or, in the absence of such agreement, as shall be determined by the governing body of his county, city or regional jail.
The term "reasonable costs," as used in this section, means an amount not to exceed actual costs, including depreciation, less such amounts as may be paid by the Commonwealth pursuant to §§ 15.2-1609.8 and 53.1-85.
Va. Code § 53.1-91