I grow Verbena bonariensis in my garden, and it does reseed. That being said, it is a perennial but not a long-lived one, but it manages to reseed every year somewhere, and I also collect the seeds and broadcast them where I want them. I also plant some in trays for the nursery; it is easily grown that way and will bloom the first year.. It is a beautiful flower and one I would never want to be without.