JOIN USChapman, 28, was one of 10 Russian agents living undercover in the United States for years who were arrested last month and deported to Russia 10 days ago in a prisoner swap reminiscent of the Cold War.
"Anna was obviously the hottest spy we've seen in years and she was clearly the media's favourite," Vivid Entertainment president Steven Hirsch said in a letter to Chapman's US lawyer Robert Baum published on Vivid's website.
"Though she wasn't very successful as a spy, we think she can be a terrific actress in one of our upcoming feature films. We would be willing to send our top director, B Skow, to Moscow to work with her," said Hirsch.
Semi-nude pictures of Chapman and stories of her racy romances made her a global tabloid sensation, particularly in Britain, where she spent several years living in London and was married to Briton Alex Chapman.
Britain on July 9 stripped Chapman of her British citizenship and the Home Office is trying to bar her from ever setting foot in the country again.
Hirsch said in the letter that Vivid Entertainment has made movies starring "high profile celebrities" such as Pamela Anderson and Kim Kardashian.
The porn company also offered "Octomom" Nadya Suleman a one-million-dollar movie contract, which she turned down.
Suleman, 34, who was unmarried, unemployed and already had six children, became a tabloid fixation in January 2009 when she successfully gave birth to octuplets in Los Angeles, and was dubbed "Octomom."