普遍管辖权最常被援引的场合是被指控者犯有战争罪、违反人道罪或种族灭绝罪，但其犯罪地点和起诉地点不在同一个国家。
Most often, universal jurisdiction is invoked when the person alleged to have committed war crimes, crimes against humanity, or genocide in another country is present in the territory where he or she is to be tried.