Looks like Devil May Cry will be Adi’s next series. He says it’ll be in a multi-verse as Castlevania. I’d guess not the same world, but a crossover of some kind might be possible. Maybe have a character from one series go to the other universe, or maybe just make the a character or element exist in both universes. Or maybe it’s just a thematic, artistic, or production link.
http://www.siliconera.com/2018/11/16/castlevania-netflix-creator-reveals-devil-may-cry-animated-series/
Probably just a production link, I doubt they would do a serious crossover. If this really gets going, what the production team needs to do is go in the exact opposite direction of what Castlevania did. Castlevania can actually work with a more complex plot and grimmer tone due to the subject matter (Gothic Horror and whatnot) and the fact that the Belmonts and Dracula are engaged in a feud spanning nearly 1000 years and Dracula himself is a very complex, and even at times tragic figure.
For DMC, they need to make it as absurd as possible. The thing about DMC is that it's almost a preemptive satire of the "dark and grim' video game setting that's become all the rage nowadays ever since stuff like Dark Souls took off. The DMC setting, at face value, should be a grim, dark, serious setting with stuff like demons, invading armies of hell, dark magic, secret underworlds, that sort of stuff. But Dante changes EVERYTHING. Bosses speak in operatic manners all the time, giving these grandiose speeches and challenges with Dante responding via smartass remarks and with devil may care attitude. He makes the tone shift from "this is very serious and horrifying" to "this hilarious and freaking awesome!" That's part of the reason why the attempted reboot failed (aside from bad writing, bad storytelling, irritating characters, gutless commentary, and amateur game design); it tried to make a straight version of what DMC was making fun of. That's so stupid.
Also, keep in mind we have a DMC thread here:
https://castlevaniadungeon.net/forums/index.php?topic=9510.0