He is tasked with raising the Cardinal's profile and replaces Charles Wookey, who left a year ago to join the Catholic Bishops' Conference of England and Wales as assistant general secretary.
Livesey works alongside PA head James Parker and Paddy Victory, a part-time consultant, assisting the Cardinal.
He has worked at Downing Street and the Foreign and Commonwealth Office.
He has also worked at the British Embassy in Paris as head of press and PA.
Also, the Catholic Church's first director of comms Mark Morley is on the hunt for a head of news, a position created following a recent review of the church's PR function that also included four redundancies.
This review brought together the church's press, publishing and training functions to create a unitary communications service, for the first time.
Last year Morley told PRWeek that he wanted campaigns to be more aggressive in tackling issues such as poverty, racism and drugs (PR Week, 10 August 2001).