His most important controversy at Chalcedon was with Juvenal of Jerusalem regarding the limits of their respective patriarchates. It was long and bitter; at last a compromise was accepted by the council, that Antioch should minister to the provinces of the two Phoenicias and Arabia and that the three provinces of Palestine should fall under the Patriarch of Jerusalem.
Maximus next appears in a letter, dated June 11, 453, from Leo the Great, to whom he had appealed in defence of the prerogatives of his see. Leo promised to help him against either Jerusalem or Constantinople, exhorting him to assert his privileges as bishop of the third see in Christendom (i.e. only inferior to Alexandria and Rome). Maximus's zeal for the orthodox faith receives warm commendation from Leo, who exhorts him as consors apostolicae sedis to maintain the doctrine founded by St. Peter speciali magisterio in the cities of Antioch and Rome, against the erroneous teaching both of Nestorius and Eutyches, and to watch over the churches of the East generally and keep Leo informed about events. Leo closes his letter with a desire that Maximus will restrain unordained persons, whether monks or laity, from public preaching and teaching (Leo, Epistle 109).
Two years later, 455, the episcopate of Maximus came to a disastrous close by his deposition. The nature of his offence is nowhere specified. We do not know how much longer he lived or what became of him.