I have a couple of patches of Star of Bethlehem that come back every year and it has spread somewhat into the grass. I like it better than the violets, so it doesn't bother me. At least not just yet! But I do hate anything that becomes invasive, so this will probably be one of those on my "dislike" list in years to come. Kind of like Muscari (grape hyacinths), I have grown to hate them.