No Departamento Australiano de Assuntos Internos - subclasse do eVisitor 651 page = > eVisitor Applicants
tab, = > Who could get this visa
, afirma:
Criminal Convictions
If you have had one or more criminal convictions (in any country) for which the sentence or sentences (whether served or not) total 12 months or more you will not be permitted entry to Australia whilst holding an eVisitor. If you have had any criminal conviction in any country, a more appropriate visa for you to apply for may be a Visitor visa (subclass 600), rather than an eVisitor.
O formulário de solicitação de Visto de Visitante exige que o candidato divulgue quaisquer condenações em qualquer país (parte F, Detalhes do Personagem. link