Eventually, Wright decided he needed to train in classical ballet, so he returned to London to study with Vera Volkova, a leading teacher of the Vaganova method.
In 1961, Wright made a critical career decision, when he agreed to work for John Cranko, a former dancer and choreographer with the Sadler's Wells Ballet.
It was also during his tenure at Stuttgart that he would direct his first seminal work, a production of Giselle that would lead to him becoming internationally renowned as a producer of the major classical repertory.
He would become particularly noted for his interpretations of the great length classical ballets, mounting The Sleeping Beauty, Coppelia and Swan Lake, which continue to be regularly performed internationally today.
In 1969, Wright returned to the Royal Ballet as a member of the artistic staff, later being promoted to the post of associate director, working in partnership with Sir Kenneth MacMillan.