Fiennes was at the festival to promote The Invisible Woman, in which he stars alongside the British actress Felicity Jones.
"I love Ibsen," he said, pointing out that he had played the lead character in Brand, Ibsen's verse drama about an uncompromisingly idealistic priest, in London and Stratford.
"I've done Brand on stage, and I love The Master Builder," he said. Indeed Felicity and I talked about the possibility of making Builder together."
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The Invisible Woman tells the story of the intense affair Charles Dickens, the British author, had with the much younger actress Nelly Ternan.