The see of Triferius, and hence the diocese in which Exuperantius served, is unknown. Triferius is also listed among the bishops who attended the Council of Nîmes of AD 394/396, see e.g. [367].
Exuperantius was one of the two presbyters of Bishop Triferius that we know of. The other was Spanus, see [374].
It should be noted that in the codex from Toulouse (Tolosanus 364) the title of the whole council relates to the canon concerning Exuperantius: Synodus in urbe Taurinatium. Statuta quoque de Exuperantio prebytero qui in iniuriam episcopi sui Triferi grauia et multa congesserat ("Synod in the city of Turin. Statutes concerning also the Presbyter Exuperantius who amassed many and grave [accusations] against his Bishop Triferius").