Son of musicians, he began playing the cello at the age of six. He perfected his art with Antonio Janigro and won first prize at the "ROSTROPOVICH" competition in Paris in 1997.

From then on, he began a solo career which has led him to perform with prestigious orchestras such as the BBC Philharmonic, the Rotterdam Philharmonic, the Orchestre Nationale de France, the Orchestre du Capitole de Toulouse, the Filarmonica della Scala, the St Petersburg Philharmonic, the São Paulo State Symphony Orchestra, the NHK Symphony Orchestra of Tokyo, the Tokyo Symphony, the Toronto Symphony, the Gewandhausorchester and the Chicago Symphony, alongside important conductors such as Riccardo Chailly, Aldo Ceccato, Gianandrea Noseda, Myung-Whun Chung, Daniele Gatti, Yutaka Sado, Paavo Jarvj, Valery Gergev, Yuri Temirkanov, Riccardo Muti and Mstislav Rostropovich himself, who wrote about him: "... he is a cellist of outstanding quality, a complete artist and a fully-formed musician, with an exceptional sound that flows like a splendid Italian voice".

Nell'autunno 2013 EnricoDindo si è esibito in una trionfale tournée con la Leipziger Gewandhaus Orchester, diretta da Riccardo Chailly con concerti a Lipsia, Parigi, Londra e Vienna.

The composers who have created music dedicated to him include Giulio Castagnoli (Concerto for cello and double orchestra), Carlo Boccadoro (L’Astrolabio del mare, for cello and piano, Asa Nisi Masa, for cello, 2 horns and strings, and Concerto for cello and orchestra), Carlo Galante (Luna in Acquario, for cello and 10 instruments), Roberto Molinelli (Twin Legends, for cello and strings, Crystalligence, cello solo and Iconogramma, for cello and orchestra) and Jorge Bosso (Valentina! Un violoncello a fumetti).

Dal 1987 al 1998 é stato primo violoncello solista dell'Orchestra del Teatro alla Scala di Milano). Conductor of the chamber orchestra “I Solisti di Pavia”, an ensemble created by him in 2001, Musical Director of the HRT Symphony Orchestra of Zagabria, he teaches cello at the Italian Swiss Conservatory in Lugano, at the Pavia Cello Academy and in the summer schools of the Tibor Varga Academy in Sion. 

He has recorded for Chandos, with whom, in 2012, he published the Shostakovich concertos with the Danish National Orchestra & Gianandrea Noseda, and for Decca, with whom he has recorded Beethoven’s complete works for cello and piano, the six Suites of J.S. Bach and, with I Solisti di Pavia, the concertos for cello and strings of CPE Bach, six concertos of A. Vivaldi and The Concerto for cello and strings by Kapustin, as well as music by Piazzolla.