Peretti was a relative of Pope Sixtus V, and nephew of Cardinal Alessandro Peretti. Francesco was named a cardinal by Pope Urban VIII on 16 December 1641. He took possession of the diocese of Monreale by proxy and did not appear personally until 1651. In 1651 he held a diocesan visitation, and in 1652 a diocesan synod. He completed the home for orphaned girls. He returned to Rome in 1654, where he consecrated Frederico Borromeo Patriarch of Alexandria. He was in Rome again in 1655, for the Conclave of 7 January to 7 April, in which Cardinal Flavio Chigi was elected Pope Alexander VII. Peretti was still in Rome when he died on 3 May 1655. Pirro, p. 478-479. Gauchat, IV, pp. 25 no. 53, with note 3; 249 with note 6.
A member of the Milanese noble family, Visconti had been titular Archbishop of Ephesus (Turkey) and papal Nuncio to the King of Spain. He was named a cardinal by Pope Alexander VII in secret on 15 February 1666, and in public on 7 March 1667. He took part in the Conclave of 20 December 1669–29 April 1670, which resulted in the election of Emilio Altieri as Pope Clement X. Pope Clement immediately named him Archbishop of Monreale on 2 June, and granted him the pallium on 16 June. Visconti arrived in Palermo on 7 December 1670. He may have died of poison. Pirro, pp. 480-481. Gauchat, IV, p. 35 no. 33. Ritzler-Sefrin, V, p. 276 with note 2.