Dominic was born into a family of classical musicians; his mother is a violinist and his father was the renowned choral conductor John Alldis. He has maintained a keen interest in classical music, and continues to play the cello and classical piano, as well as conducting orchestras worldwide.
Since 1997, Dominic has cultivated a parallel career as a business speaker, exploring music as a metaphor for the world of business. In 2003, he founded Music & Management to provide a range of orchestral experiences for business conference and professional development programmes. As part of these programmes, he has conducted orchestras in London, Paris, Berlin, Frankfurt, Munich, Amsterdam, Copenhagen, Malmo, Prague, Madrid, Barcelona, Rome, Budapest, Gevena, Lucern, Warsaw, New York, Chicago, San Francisco, Miami, Moscow, Beijing, Bangkok, Buenos Aires, Cape Town, Dubai, Istanbul, Jakata, Hong Kong, Kuala Lumpur, Mexico City, Mumbai, Quito, Sao Paulo, Seoul, Shanghai, Singapore, Sydney, Taipei and Toronto.
In 2010, Dominic formed the Canzona Chamber Orchestra to perform classical repertoire and cross-over projects with leading jazz musicians. The orchestra's inaugural concert took place at St James's Piccadilly in April 2010 and featured Tchaikovsky's Serenade for Strings, Britten's Simple Symphony and the premiere of A Childhood Suite by Dominic Alldis, scored for jazz piano trio and orchestra.
In 2000 Dominic was made an Honorary Associate of the Royal Academy of Music in London and currently holds a teaching post there.
Repertoire has included the following:
- Symphony No. 8 by Joseph Haydn
- Symphony No. 27 by Joseph Haydn
- Symphony No. 43 by Joseph Haydn
- Symphony No. 44 "Die Trauer" by Joseph Haydn
- Symphony No. 46 by Joseph Haydn
- Symphony No. 47 by Joseph Haydn
- Symphony No. 51 by Joseph Haydn
- Symphony No. 52 by Joseph Haydn
- Symphony No. 63 “La Roxelana” by Joseph Haydn
- Symphony No. 64 “Tempora Mutantur” by Joseph Haydn
- Symphony No. 21 in A, KV 134 by Wolfgang Amadeus Mozart
- Symphony No. 28 in C, KV 200 by Wolfgang Amadeus Mozart
- Symphony No. 29 in D, KV 201 by Wolfgang Amadeus Mozart
- Symphony No. 35 in D, KV 385 by Wolfgang Amadeus Mozart
- Symphony No. 38 in D, KV 504 by Wolfgang Amadeus Mozart
- Symphony No. 39 in Eb, KV 543 by Wolfgang Amadeus Mozart
- Symphony No. 40 in G minor, KV 550 by Wolfgang Amadeus Mozart
- Symphony No. 41 in C, KV551 by Wolfgang Amadeus Mozart
- Divertimenti KV136, KV137 & KV138 by Wolfgang Amadeus Mozart
- Symphony No. 1 in C, Op. 21 by Ludwig van Beethoven
- Symphony No. 3 in Eb, Op. 55 by Ludwig van Beethoven
- Symphony No. 7 in A, Op. 92 by Ludwig van Beethoven
- Serenade for Strings, Op. 48 by Pyotr Ilyich Tchaikovsky
- Serenade for Strings, Op. 22 by Antonin Dvorak
- Serenade for Strings, Op.6 by Josef Suk
- Serenade for Strings, Op. 20 by Edward Elgar
- The Holberg Suite, Op. 40 by Edvard Greig
- The St. Paul's Suite by Gustav Holst
- The Brook Green Suite by Gustav Holst
- Symphony No. 5 in B flat major, D. 485 by Franz Schubert
- Simple Symphony, by Benjamin Britten
- Suite for Strings, by Leos Janacek
- Serenade for Strings, Op. 11, by Dag Wiren
- Sinfonia in D, by Felix Mendelssohn
- Capriol Suite by Peter Warlock
- A Downland Suite by John Ireland
- English Suite by Hubert Parry
- Two Elegiac Melodies by Edvard Greig
- Sinfonie No. 1 & 3 by CPE Bach
- Lady Radnor Suite by Hubert Parry
- A Childhood Suite by Dominic Alldis
- 3 Bavarian Dances Op. 27 by Edward Elgar
- Song of the Sea, Op. 91 by Charles Villiers Stanford
- Matinées Musicales Op. 24 Britten
- Suite from "Il Gattopardo" by Nino Rota
- Valse Triste, Op. 4 by Jean Sibelius
- Capriccio Espagnol, Op. 34 by Rimsky Korsakov
Orchestras have included the following:
- Bangkok Symphony Orchestra
- Barcelona Sinfonietta
- Bombay Chamber Orchestra
- Cairo Philharmonic Orchestra
- Canzona Chamber Orchestra
- Cape Town Philharmonic Orchestra
- Chelsea Symphony of New York
- City Chamber Orchestra of Hong Kong
- Eleganza Strings of Miami
- New Millennium Orchestra of Chicago
- Paris Virtuosi
- Plano Symphony of Texas
- Toronto Symphony Orchestra
- Warsaw Philharmonic Chamber Orchestra
- Wimbledon Symphony Orchestra