What event was held on 27 May 2013 that featured one team that also competed in the League Cup and FA Cup?
2013 Football League Championship play-off Final The 2013 Football League Championship play-off final was a football match contested by Crystal Palace and Watford on 27 May 2013 at Wembley Stadium to decide the third and final team to be promoted from Football League Championship to the Premier League for the 2013–14 season.
2014 FA Cup Final The 2014 FA Cup Final was the 133rd final of the FA Cup, the world's oldest football cup competition. The match was contested between Arsenal and Hull City at Wembley Stadium on 17 May 2014. Hull City made their first appearance in an FA Cup Final, while Arsenal equalled Manchester United's record of 18 final appearances. It was the first time since 2010 that the FA Cup Final had taken place after the end of the Premier League season.