Quinn was born in Rome, Italy and is the son of the Mexican American actor Anthony Quinn and Iolanda Quinn (Jolanda Addolori). Quinn was raised in both the United States and Italy and presently lives in Barcelona, Spain. It was in Rome where he discovered his love for art and started out as apainter in 1982, training at the American Academy of Fine Arts in New York.

Quinn was attracted to acting where he interpreted roles such as Antonio Stradivari as the young violin maker with his father Anthony Quinn playing the elder. Quinn, having started painting, had always been an admirer of the surrealist artist Salvador Dalí and in 1991 he interpreted the Spanish artist on the big screen, alongside English actress Sarah Douglas portraying his wife Gala. Quinn achieved the best new actor award at the Biarritz Film Festival. However, it was by working in this role that Quinn decided his own career needed a change of direction and so he phased out acting to dedicate himself solely to art.

Lorenzo's work is included in many impressive private collections throughout the world, which has lead to a prodigious amount of commissioned work. This includes being commissioned by the Vatican to sculpt the likeness of Saint Anthony, in commemoration of the Eighth Centennial of the Saint’s birth. Lorenzo’s sculpture was blessed by the Holy Father in Saint Peter’s Square before it was placed in the Basilica del Santo in Padua in 1995. He has also been commissioned by the United Nations to produce a stamp for their collection, as well as placing several monumental sculptures throughout the UK and Europe. His ongoing project, ‘The Globe Of Life’ which represents the hundred most important moments in history, looks set to be his most significant work to date, with five monumental bronze sculptures linking each continent. Other than having exhibited throughout the United States, Lorenzo has shown his work in South America, Europe and Asia. In April 2003, Lorenzo’s monumental sculpture, ‘Encounters’, which has been commissioned by Fundatur and donated to the city of Mallorca, was unveiled opposite the Museum of Modern Art in Palma de Mallorca.