The farewell scene in Captain Picard's ready room, near the ending, had to be reshot after Sir Patrick Stewart unintentionally started crying.
Sir Patrick Stewart was paid nearly as much for this film as he made in the entire run of Star Trek: The Next Generation (1987).
It was generally believed that Jeri Ryan (Seven of Nine from Star Trek: Voyager (1995)) was offered a cameo in the earliest draft of the movie script, but was unable to commit when she got a role on Boston Public (2000). The cameo was supposedly given to Kate Mulgrew (Admiral Kathryn Janeway) instead. However, during a 2014 Star Trek convention, Ryan admitted that the studio had offered her a much larger role, which would have replaced an unspecified character in this film (supposedly Marina Sirtis as Deanna Troi). Ryan passed on the opportunity, not wanting to take a break from Boston Public already, and also out of fear of being typecast. She also felt that her presence in the film was merely fan service, since her character from Voyager never served on the Enterprise, and therefore wouldn't know anyone from the Next Generation crew. The studio then offered her a cameo as a guest at Riker and Troi's wedding in the beginning, which she also passed on because that would make even less sense. A cameo for Admiral Janeway was created instead, and Ryan would finally return to the Star Trek universe in Star Trek: Picard (2020).
According to his interview in the Blu-ray special features, Sir Patrick Stewart did most of his own driving for the ARGO scenes, with the exception of the opening shot leaping out of the shuttle and the subsequent sharp turn.
Bryan Singer: Guest appearance by the man who directed Sir Patrick Stewart in X-Men (2000), X2: X-Men United (2003) and X-Men: Days of Future Past (2014). He is the crew member who takes Worf's place at the Tactical console.
Whoopi Goldberg: Reprising her role as the Enterprise-D bartender Guinan from Star Trek: The Next Generation (1987).
Wil Wheaton: Makes a cameo appearance in this film. The last time Wesley Crusher made an appearance was on Star Trek: The Next Generation (1987) ("Journey's End", season seven, episode 26).