Alice has been Max's girlfriend. She was forced by him to comitt suicide.
Alice and Max have been together, but possibly broke up. Max without knowing used his sinister powers to make her kill herself by jumping off the roof. Later on, the demons blessed him, and promised to ressurect her.
Max - ex boyfriend
Max tells Minoo about his girlfriend, who comitted suicide, and that she resembled her looks.
In Fire, there is a retrospection when Alice tells Max she never wants to see him again, prior to her death.
Alice had dark hair and dark eyes. She looked a little bit like Minoo.