Producer Sam Esmail has taken part in a video interview with Collider about the upcoming new Battlestar Galactica TV show, on which he is working as an executive producer.
This new project has been described by Esmail as a continuation, or at least set in the same universe, as Ronald D. Moore's Battlestar Galactica, the second version of the franchise which ran from 2003-09 and spawned two spin-off projects (prequel series Caprica and prequel TV movie Blood & Chrome). He reiterates in the new interview that he spoke to Moore (currently helming both Starz's Outlander and Apple+'s For All Mankind) and got his blessing for the project.
However, the new show's actual head writer and showrunner Michael Lesslie, has previously indicated that the new show will be a fresh reboot/remake of the original premise, something which NBC's publicity seems to have agreed with.
Although there is scope for further exploration of Moore's BSG iteration, it would probably not involve the titular Galactica starship herself and might involve a fairly deep dive of the mythology behind the show. It is unclear if NBC would be interested in a reboot of the show which did not involve the "classic" elements of the series, such as Viper fighters, Cylons and characters such as Adama, Apollo, Starbuck and Baltar.
NBC's parent company, Universal, are also simultaneously developing a totally fresh, ground-up movie version of Battlestar Galactica with X-Men movie ruiner Simon Kinberg and Planet of the Apes reboot mastermind Dylan Clark and it's unclear if they would want two versions of the same story airing simultaneously. It's also unclear if they'd want two different universes/takes on the same story going on at the same time, maybe feeling that might get confusing. However, it's not unprecedented, with both Netflix and Constantin Films developing two different takes on the Resident Evil franchise in different continuities, with both projects now greenlit and in pre-production.
The third TV iteration of Battlestar Galactica is currently in the planning stages and is due to debut on Peacock, NBC's new streaming service, in 2022 or 2023. Esmail hopes to start shooting the series this year, but notes that may not be possible due to various delays stemming from the global pandemic.