A short one here, I apologize. I just wanted to post what I have so far. Next chapter must be and will be longer.
Gonna try to tackle a jealous Dante. This story is going to be one of a little angst and comfort. I believe Dante and Kat aren't well versed with love and emotions, as they're both very scarred and isolated characters. I'll also try to keep Kat in the concept of a rational mind for Dante. She doesn't seem the type to act on impulse.

"Can I…stay with you for a while?"

Kat stood in the middle of his room and stared at him in earnest. Both of their light colored eyes glowed dimly in the dark. Dante's eyebrows drew down.

"Where the hell have you been?" he too, asked in earnest.

Like their first meeting, the pair assessed one another, Kat being subtler about it. Dante resumed to his seat on his waterbed, raising a brow in question when Kat continued to stand awkwardly. He gestured for her to sit and she perched herself soundlessly at a respectable distance away from him.

"I've been making trips back to headquarters to check for survivors and fill them in on…the situation with Vergil."

At once the pair diverted eye contact. Dante looking frustrated while Kat could only lower her eyes to observe her tattooed hands. She made a note not to mention his twin brother. Any mention of Vergil will be taboo from now on. It will be best for the both of them.

"I've also been honing my magic and gathering ingredients. The whole process takes a while, and the items I need are hard to find," she added quietly.

As tired as he was, Dante managed to smirk a bit, his eyes gleamed a little as he recalled her awful ingredients.

"None of that stuff in here, okay? That squirrel jizz really stinks."

Touched that he intended to let her stay all along, the girl gave him a small smile. It then occurred to him that she didn't do that much. Smile. His crass jokes never managed to make her crack any before when they first met, but they trust each other now.

The two proceeded to talk about how dangerous the revolution was and how the unleashed demons have been, for some reason, targeting her. Kat came to him because she needed his protection once again.
Dante found that he wouldn't have it any other way.

Crap I noticed this whole chapter could be a one-shot in itself.