A doctor in lay and religious jurisprudence, in 1400 he was appointed by pope Boniface VIII as bishop of Florence, but he could not take possess of that diocese.
He was thus transferred to the archdiocese of Taranto in southern Italy and, in 1406, he became archbishop of Pisa, a position he held until 1411.
In that year he was created as "anti-cardinal" by antipope John XXIII, and was given the legation of France.
Pope Martin V made Adimari archpriest of St. Peter's Basilica, and sent him again to Aragon to convince Benedict XII to surrender.
The work is now lost, but was mentioned by late Renaissance art biographer Giorgio Vasari.