Lynn, I have a similar problem with E. fens ruby. Very pretty plant, but reseeds and suckers everywhere. If red velvet is anything like fens ruby, just cutting it before going to seed would NOT prevent it from multiplying. I have found fens ruby to be OK in some spots, but it has absolutely taken over a dry rockery area, over powering the other plants. Some days I consider just letting it do so, other times I pull it all out (knowing that is just a delay tactic). In its favor, it is rather a 4 season perennial -- bright new growth, jolly yellow flowers, red fall color, and kind of cobwebby seed heads. Some battles are just not worth it to me...