My Tamgotchi V3 died(after unpausing itself) about a month ago, and I've had it on the "rocket/egg with wings" screen ever since. Just yesterday, I held in the A/C buttons to reset it, and the new egg appeare d immediately on the screen. After it hatched, I was looking in my snacks list, and found 4 balls there in the section where you put the treats that you buy. These were the only things in there besides the regular snacks, because I lost all my items when I had to reset. The balls were edible, of course, and looked like a rice ball on a plate when I fed one to him. He enjoyed it.
I know there are lots of reports about balls appearing in the snack list, but I've never had it happen after I start a new Tama like this, so I thought I'd mention it. Interesting.