In my search for zero-scoring rugby games, I found that it's incredibly rare, but it has happened. In the history of professional rugby, there is one match that ended with a score of 0-0. It was a clash between Scotland and New Zealand that took place back in 1964. It was a tough game, marked by heavy rain and wind which made scoring almost impossible. So, while it's not a common occurrence, it's still a part of rugby history.