In an interview with PA, Mirren explained that Ben Whishaw's character, an impish spirit named Ariel, was often represented by an inanimate object during the film's production.
"It was a bit of a challenge, he was a tennis ball on a stick for a lot of the time," she said. "But you know that's the way digital effects work and our job as actors is to live in the world of the imagination, so that's what we do for a living. So it wasn't so difficult."
After disclosing that she enjoyed interacting with Whishaw when he was present, the Oscar-winning actress lamented that it was often difficult to film the costume drama.
She remarked: "Heavy costumes in Hawaii in the heat - there were those kind of challenges, and also demanding language, it's really action of the brain and of the tongue than of the body."
The feature-film is based on a William Shakespeare-penned play, which was first performed in the early 1600s.
The Tempest is now playing in both the US and the UK.