On 12 December 1502 he was awarded the title of Duke of Soma, taking part in 1505, with the role of admiral, in the capture of Mers-el-Kébir.
Cardona also engaged a French carrack with a flotilla of smaller galleys in the coast of Calabria, driving it away from the Spanish-controlled territory.
In 1510 he received instructions on introducing the Inquisition in Naples, a decision which caused a popular revolt; after which the Spanish king canceled the decree.
Giuliano della Rovere and the arrival in Italy of King Francis I of France, Cardona was called back to Spain.
His cenotaph in Bellpuig, executed by Giovanni da Nola, is one of the most outstanding examples of Renaissance art in the region.