[NewWestGardener]

My elephant garlic always produce those pearls, and they will sprout if left in the garden. They are a leek, so they do that.
After harvesting the seeds of Mammoth leeks, I cut the dry stalks to 3-4", then lifted the whole roots/stalks and replanted them somewhere in the garden as I needed the space. Sure enough, I got more babies sprouted out of the roots later. They can just keep going year after year from the same patch, multiply a few each season.
Bower, Alium seeds can be kept in a freezer to prolong their short life.