The famously reclusive director is famed for leaving some of the biggest names in Hollywood on the cutting room floor, the Daily Mail reported.
Weisz accepted a role in the film for the chance to work with Malick, who has directed films like 'Badlands', 'The Thin Red Line' and the 'Tree of Life'.
"I had the experience of working with him (Malick), but I will not have the pleasure of seeing my work," Weisz told Italian newspaper La Stampa.
The 42-year-old star said that when she took on a role in the film, she did so not knowing if it would be "...For four or five days or three months. In the end I was there just for a few days."
The film stars Ben Affleck, Rachel McAdams and Javier Bardem. The star's role was cut along with that of Michael Sheen, Amanda Peet and Barry Pepper.
The other actors edited out from Malick's movies include Adrian Brody, Michey Rourke, Gary Oldman, Billy Bob Thornton and Martin Sheen.
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Brody was furious when his scenes from 'The Thin Red Line' were left on the cutting room floor.
"You spend all this time in an unfamiliar place, you experience incredible things, and then you come home, you're wounded psychologically and you have nothing to show for it," he had said.
Penn was equally angry when he failed to appear in the finished version of 2005's 'The New World'.
"I'm still trying to figure out what I'm doing there and what I was supposed to add in that context. What's more, Terry never managed to explain it to me clearly," he had said.