On 24 June 1995, Melki was appointed auxiliary bishop of the Syriac Catholic Patriarchate of Antioch and Titular Bishop of
Arethusa dei Siri. He received episcopal consecration on 30 December 1995, with Patriarch
Ignatius Antoine II Hayek as principal consecrator. His role formed part of the patriarchal administration of the Syriac Catholic Church, as reflected in ecclesiastical listings and diocesan records. Melki was officially listed among the bishops participating in the 2010 Special Assembly for the Middle East of the Synod of Bishops, confirming his curial status at the time. He retired from office on 10 October 2011 upon reaching the customary age of episcopal retirement. == Public activity ==