The company is asking for $750,000 to get the project off the ground, lower than the original Kickstarter's $1.35 million target. At press time, more than $13,000 from over 300 backers had been received.
The game's original crowd-funding efforts, through Kickstarter and its own website, were shut down last month over "new and exciting opportunities."
One of the most prominent features of the new campaign is Metal Gear Solid voice actor David Hayter, who has signed on to play the lead role of detective Paul Becker in Shadow of the Eternals.
Shadow of the Eternals is a single-player, third-person action adventure game with horror elements that is said to span 8 to 10 hours. It is in development using Crytek's CryEngine 3 for the PC and Wii U, and the PC version will be DRM-free.
Gamers can vote for Shadow of the Eternals through Steam Greenlight today.
The Shadow of the Eternals narrative begins when Becker is called to Louisiana's Pleasant View Hospital, the site of a recent gang massacre. Two individuals--a suave businessman and a rogue-like biker--survive and have no recollection of what has transpired.
Players will interrogate the individuals, who are out for each other's throat. And in doing so, the story will travel back in time to Hungary 1610 at Csejthe Castle, home of serial killer Erzsébet Báthory. Gamers will control multiple playable characters throughout the course of the game.
In terms of gameplay, Shadow of the Eternals features historically accurate melee and ranged weapons for combat, as well as magic. Exploration and interaction with the game environment will also be centerpieces of the experience, the developer said.
"With the drastic change of the video game industry in the past decade, crowdfunding is the only avenue to help create a game similar to Eternal Darkness," Precursor Games said. "When we created the first game, we wanted to do something truly different in the horror genre, and with our fans and contributors we will do something exciting once again. Help us make history and create Shadow of the Eternals, a spiritual successor to a game that truly deserves a follow-up."
Late last month, Precursor Games developer Kenneth McCulloch, 42, was arrested on child pornography charges. The studio was quick to distance itself from the designer, with CEO Paul Caporicci saying that McCulloch is "no longer affiliated in any way" with the company.
Shadow of the Eternals is scheduled to launch by October 2014. For more, check out GameSpot's interview with Precursor Games founder Denis Dyack.