The aim of this unit was to guard the newly re-organized province of Aegyptus, being based in Alexandria.
The Papyri Beatty Panopolis contains records of some vexillationes of the III Diocletiana stationed in the south of Egypt, at Thebes and Syene (modern Aswan).
These provide information about provisioning, pay (which was often in arrears), and unit sizes.
[1] Theodosius I sent soldiers from the north to III Diocletiana in Egypt, and Egyptian soldiers in Macedonia, forming the III Diocletiana Thebaeorum, under the command of the Magister Militum per Thracias (Notitia Dignitatum Orientis, VIII).
The shield pattern of III Diocletiana Thebaeorum was a red rose on white field.