The 2004–05 season saw a change to this policy, as the union began to use the Celtic League table as its sole criteria for determining which Irish teams would be entered into the following season's Heineken Cup. Connacht finished six points behind Ulster in the final standings that year, missing out again. It wasn't until 2016 that Connacht finished in a higher league position than any of their provincial rivals again. Despite this Connacht did achieve Heineken Cup qualification from the 2011–12 season to the 2013–14 season. Ironically this was thanks to Leinster, who won three consecutive European tournaments. Leinster's successes meant that they were automatically qualified for the following year, leaving an open Irish qualification berth which was filled by Connacht.