Well, when there is death of a loved one, we don't want that to be a permanent loss. Each main character here carries a kind of loss with them. Human nature compels us to maintain hope; hope that there could be something more, eventually. Perhaps not a replacement of that person, exactly, but a kind of consolation. That's essentially what this movie is about, I feel, and each character searches for this consolation in their own, sometimes weird, ways. I can appreciate the humanity at work here.
Where the movie is lacking, for me, is Jeremy's backstory. Oddly, even though the movie is centred on Jeremy, we never really learn THAT much about him. On a practical level: how is he able to be unemployed for so long? On a deeper level: why is he doing what he is doing, exactly? Why is he behaving in this clingy way, never wanting to leave this house? Why did he love his former boss; how did that strong connection come to be? These questions are never really answered because there is little context/background here.
Also... do cops not need warrants in France? I'm no expert on the French legal system but it stretched believability for me that cops can just barge into a house like that, displaying no warrant, to interrogate Jeremy. Odd. But there are quite a few odd things in this odd little film. I don't necessarily mind that.