The Dirty Rotten Scoundrels star was contacted by the maverick filmmaker about the possibility of working together on his next project during a promotional trip to the U.K. in the early 1980s.
He headed to Kubrick's sprawling mansion in Hertfordshire, England for a meeting and was struck by the A Clockwork Orange director's bizarre and obsessive lifestyle.
Martin tells Uncut magazine, "I was in London in the early '80s and... I got a call from Stanley Kubrick, who said he'd like to meet me. I went up to his house and I was overwhelmed... He was very complimentary... So we played chess and he showed me around his store rooms where he had these huge rooms of open files of - I don't know how to describe them - like library stacks.
"He had screening rooms, too, where he reviewed every print. This was 1980 and he was still reviewing prints of (Kubrick's 1968 movie) 2001 (A Space Odyssey), before they'd go out. Every print. One thing that struck me, he had files of press reviews marked 'Favourable' or 'Hostile'. But he was very, very nice."