I find Nandina THE most invasive plant I have ever encountered in my entire 72 year life. If I were given one as a gift I'd throw it in the trash can, as I wouldn't want someone else to plant it and leave it to some poor soul to deal wiwth. Had I known it was that invasive, I'd have never bought the house! The one and only nandina at the house I had before this one (my only exposure/knowledge of them) never EVER sent out suckers in the rock bed it was planted (not my me) in.
