Va. Code § 24.2-518
The treasurer of the county or city in which the elections are held shall pay the costs of primary elections.
A political party may hold an election to select the members of its party committee at the same time and in the same places as a primary election without fee or charge for making use of the electoral machinery, provided that a primary to nominate the party's candidate for an office is in fact conducted on that primary date. Such elections for party committee members may be conducted by paper ballots or by voting machines in the discretion of the local electoral board.
The proper political party committee shall pay the costs of using the election machinery at any other time for the purpose of conducting other nominating procedures adopted pursuant to the rules of that party, if such use is authorized by the officials having custody of the machinery.
Va. Code § 24.2-518