Then truly, the police will want nothing to do with this--a possible argument over who gets things like furniture or appliances. They may suggest or encourage the both or you to talk with each other.
Second, since you are both foreign residents, I doubt there would ever be any bit of compensation expected (for breaking off the engagement, as I mentioned earlier), since you both are completely outside the system here.
Still, harassment or stalking is reportable to the police. So if that's what's happening, keep records of it--so that you can show what it is and how often it is happening. Be sure to save any emails, any notes he leaves, and screenshot any (Line) messages or other things like that.
Only you can decide when one or another boundary is crossed--is this just more talk with your ex, or is he harassing you? And it is your choice to set boundaries, for example when to block his calls/messages completely, instead of trying to approach him rationally/reasonably, to 'talk it thru'.
Asking to be given pieces of furniture or appliances is probably a way to keep controlling the relationship, to keep his sense of that (control/dominance/superiority), rather than giving up on it. Trying to salvage his ego, at some cost to you.