The phrase "to tame the monster" means to control or overcome something that is difficult or challenging. It implies taking control over a chaotic or powerful situation or characteristic, much like taming a wild and unruly creature. Full definition
Here we invoke the hopeful monster metaphor to address the possibility of taming the monster through the evolution of new entities, enabled by social computing. (judithcurry.com)
The story of both the anime and the game will focus on «monster riders», who tame monsters instead of slaying them. (crunchyroll.com)