History. Dundrum Town Centre was built on the site of the former Pye television factory, later the site of an entertainment and bowling centre called Dundrum Bowl.In 1993, the Dundrum Bowl was closed due to flooding. The shopping centre was opened on 3 March 2005. Over 5,000 people queued in the main square. Within 3 years, over 70 million people visited Dundrum Town Centre.