Inverne appears as a character in the 2012 Victoria Wood-scripted drama Loving Miss Hatto, a film about the Joyce Hatto scandal, screened on BBC One television over the Christmas 2012 period. In 2015, Inverne announced that, alongside his other activities, he was developing his new play for production. The play, entitled A Walk With Mr. Heifetz was selected for a work-in-progress semi-staged reading at the 2017 Jewish Book Week festival, where it was performed in March 2017 to a sold-out audience at King's Place in London, featuring actors Henry Goodman, Ed Stoppard and Yuval Boim, directed by Benjamin Kamine. It was announced that A Walk With Mr Heifetz would be produced off-Broadway, in January 2018, by the award-winning New York theatre company Primary Stages at the Cherry Lane Theatre. Performances were announced from January 29, 2018 to March 4, 2018. Following that successful run, Inverne announced that his second play was being developed for production.
