In 1978, he formed the band Velvet with Ike Isaacs, Len Skeat, and Digby Fairweather. After Velvet, he formed a band with Don Harper before reforming the Hot Club of London with Johnny van Derrick (violin), Gerry Higgins (double bass), and his protégé Robert Seaman (guitar). Wright played with the Hot Club of London across the UK, as well as at jazz festivals in Eindhoven, London, and Cork. His last performance was at The Grapes in Shepherd Market, Mayfair in late 1991 with van Derrick.