A new and distinct Torenia plant named `Dantopuremon` characterized by having shiny green foliage, doted with plenty of delicate, funnel form, cup shaped flowers in shades of pale violet and white; vigorous, bush, cascading, rounded and compact growth habit; densely branched plant, gracefully cascading from hanging baskets; early flowering response and stays in full bloom season-long in moderate climate; suitable for use as an annual for hanging pots outdoors under partial shade; and good weather tolerance with preferred temperature range of 15 to 25.degree. C.