A person who has been ordered by law to join the armed forces. (Cambridge Dictionary)
A draftee is the same as a conscript. (Collins Dictionary)
A person conscripted for military service. (Oxford Dictionaries)
Draftee: Summoned to Serve: The Plight of a Vietnam Draftee in War and Beyond.
Iran: Information on the documents a draftee is required to produce when he registers for military service, and whether the Iranian military authorities would register a draftee without requiring any proof of his identity.