Bisleti was ordained on 20 September 1878. He was appointed Canon and archdeacon of the cathedral chapter of Veroli where he served until 1884. He was created Privy chamberlain de numero participantium on 20 December 1884. He was raised to the level of Domestic prelate and master of papal chamber on 29 May 1901.
He was awarded the numerous orders and decorations:
In May and June 1907, when Bisleti was still a Monsignor and Maggiodomo di Sua Santita, the Swiss-born American artist Adolfo Müller-Ury (1862-1947) who was in Rome painting a large portrait of Pope Pius X (North American College, Via dei Umilta, Rome), and had painted two portraits of Cardinal Rafael Merry del Val, also completed a portrait of Bisleti, a fact that was recorded in the New York Herald on Sunday 27 December 1908.