[ Which means if it does show up, there's a good argument for it being tied to Light. L draws the perfect picture without actually saying the words. The items may be random, but they're connected to the Mirrorbound who receives them. That's easy enough to explain. A connection doesn't necessarily dictate ownership, but of course it doesn't end there. He then makes it clear he knows he isn't the direct owner and would find it a bit odd if he did receive it without being the owner. ]

We didn't get long to really study it, did we? I have a lot of questions myself, but if it still holds the power to kill, I wouldn't want it to show up. If it leaves our hands, it could be a disaster. That kind of power can corrupt all too easily.

[ It's still a very nice weapon to have, and Light isn't easily corrupted. He handled it in Japan, he can do so here. Still, it's highly likely it will work without the Shinigami, even if the Shinigami weren't directly killing. ]

There's no obvious trigger for what made them appear?