Lyric discussion by yukfoo 

Cover art for Still in Love lyrics by Nick Cave and the Bad Seeds

I agree that the narrator is dead, and I think, like jabe05 said, it was a suicide.

I get the impression that he killed himself at home, and that's why the cops are in the house, investigating. Maybe she found him? She's numb and doesn't know how to feel or what to do, so she's acting automatically, being a good host, with the coffee, trying to answer the questions.

I think that the narrator killed himself to, in his own eyes, unburden her. That’s what I get from the “You might think I'm crazy…but I'm still in love with you” line. She can’t help thinking that he left her because he doesn’t love her anymore, but he’s trying to say it was out of love that he did this.

The whole section on hiding her memories and mementos is, in my mind, the narrator telling her to move on, to forget about him, do what she has to “Stuff them in a cardboard box. Or throw them into the street below” to get on with her life, but if she really needs him, all she has to do is remember the happy times “Call me up, baby, and I'll answer your call. Call me up but remember I am no use to you at all” and he’ll be with her in spirit at least.

The last verse where she’s standing at the top of the stairs makes me think she has accepted it, either his death or his gesture, I’m not sure, and as a result of this, he lets himself move on “I fall to sleep in the summer rain” has changed from speaking to the sleepy summer rain.

My Interpretation