Meaning of Areli. Israeli name. In Israeli, the name Areli means-the light or vision of god.The name Areli originated as an Israeli name. The name Areli is most often used as a boy name or male name.Israeli Name Meaning-the light or vision of god.sraeli name. In Israeli, the name Areli means-the light or vision of god.The name Areli originated as an Israeli name. The name Areli is most often used as a boy name or male name.