Beast Cores as their names suggested were cores that could be obtained from Alphas from different Beast species. By consuming such a Core, Cultivators were able to obtain a power akin to a second Talent, boosting their strengths several folds.
However, only a few knew that once a Cultivator consumes a Beast Core, the Core itself won't become completely one with the body as a portion of it will always remain intact.
Once consumed, the Beast Core will gradually reconstruct itself over time and once the body was destroyed, the Beast Core can be obtained by others!
Of course, it was only possible if the Beast Core reconstructed itself in the body. If not, then even though the Cultivator was killed the Beast Core won't appear ever again!
"Your Beast Core... When did you obtain it?" asked the guy abruptly, increasing his distance between him and Khal once again.