His son Jacopo (c. 1322 - 1398) became Chancellor of the Republic of Pisa and head of the political party of the Raspanti, associated with the Della Gherardesca family.

[1] He was succeeded by his son Gherardo (c. 1370-1405) in 1398, who, one year later, ceded the seigniory of Pisa to Gian Galeazzo Visconti, lord of Milan; when the latter died, Pisa was sold to Florence by Gabriele Maria Visconti, while the Appiani retained the lordship of Piombino, Suvereto, Buriano, Scarlino, Vignale, Populonia, Elba, Pianosa and Montecristo.

Gherardo was succeeded by his son Iacopo II in 1404; at his death (1441), his mother and regent Paola Colonna clashed against Emanuele Appiani for Piombino.

However, his son Iacopo VI was ousted from Piombino in 1548 by emperor Charles V, who assigned his lands to Cosimo I, Duke of Tuscany.

[3] Iacopo was restored in 1559, though three years later a popular revolt forced him to fight in the Tuscan navy, leaving his son Alessandro as governor.