At around forty-nine minutes, Press' line "bangin' cocktail waitresses two at a time" was borrowed from The Godfather (1972) from the scene in which Moe Green explains to Michael Corleone his public mistreatment of brother Fredo.
Patrick Ross has two types of alien forms: Bipedal and quadrupedal. The bipedal form is for mating and its appearance is the male version of Eve's alien form. While the quadrupedal form (so-called 'Fighting Patrick') is for combat and is bigger, brutish, and more massive.
Most of the nude scenes, such as the debutantes having sex with Patrick or the strip-club sequence, were shortened in the final version of the movie. The full scenes can be seen in the DVD extra features.
EVE stands for Extraterrestrial Vulnerability Experiment.
Michael Madsen and Natasha Henstridge have disowned the film, claiming to hate it. In regards to H.R. Giger, he actually requested to have a reduction of credit in his involvement, not having been impressed with the film either.