[3][6] He never visited Philadelphia, but did receive recognition as exarch of the Ecumenical Patriarchate to the Orthodox communities in his charge,[4] namely those of northern Italy, Dalmatia, the Ionian Islands and Crete.
[6] He acquired a sizable library, including a copy of a Greek translation of the Summa Theologiae that had belonged to Patriarch Gennadios II.
He engaged in polemics with Maximus Margunius concerning the doctrine of the procession of the Holy Spirit and the filioque clause, about which he wrote a tract.
[6] Gabriel wrote a tract on the seven sacraments, Syntagmation peri ton hagion kai hieron mysterion (Συνταγμάτιον περὶ τῶν ἁγίων καὶ ἱερῶν μυστερίων), which was printed at Venice in 1600.
[1][6] The doctrines in question are the double procession of the Holy Spirit, Petrine primacy, the use of unleavened bread in the Eucharist, Purgatory and the state of the saved prior to the Last Judgement.
[1][2] A selection of his writings was translated from Greek into Latin by Richard Simon as Fides Ecclesiae Orientalis seu Gabrielis Metropolitae Philadelphiensis Opuscula and printed at Paris in 1671.