Ecumenical Ministry is intended for the Church of Christ as a whole - i.e., it is, by definition, not restricted to any particular denomination.  Of course, this is true ultimately of all right ministry.  The result of such ministry - if properly provided - is that "he has given some apostles, and some prophets, and some evangelists, and some shepherds and teachers, for the perfecting of the saints; with a view to [the] work of [the] ministry, with a view to the edifying of the body of Christ; until we all arrive at the unity of the faith and of the knowledge of the Son of God, at [the] full-grown man, at [the] measure of the stature of the fulness of the Christ".  (Ephesians 4)

Index to Ecumenical Ministry