Question: What event was held on 27 May 2013 that featured one team that also competed in the League Cup and FA Cup? 

Context articles: 2013–14 Fulham F.C. season
1990–91 Sunderland A.F.C. season
2014–15 Sheffield Wednesday F.C. season
2013 FA Cup Final
2013 Football League Championship play-off Final
2009 Gangwon FC season
2007 FA Cup Final
List of Sunderland A.F.C. seasons
2014–15 Hull City A.F.C. season
2013–14 Crystal Palace F.C. season

The 2013–14 season was Fulham's 116th professional season and their 13th consecutive season in the top flight of English football, the Premier League.
 They also competed in the League Cup and the FA Cup.
 Fulham were relegated from the Premier League, finishing in 19th place.
 They also exited the League Cup in the fourth round and the FA Cup in the fourth round.
During the 1990–91 season Sunderland competed in the Football League First Division, the League Cup and the FA Cup.
 They finished 19th in the First Division and were relegated.
 Marco Gabbiadini was the top scorer in the First Division with 8 goals.
 They were knocked out of the League Cup in Round 3.
 Marco Gabbiadini was the top scorer in the League Cup with 2 goals.
 They were knocked out of The FA Cup in Round 3.
 No Sunderland players scored in the FA Cup.
 Marco Gabbiadini was the top scorer in all competitions with 10 goals.
 At the end of the season, Kevin Ball won the club's official Player Of The Season award, as well as the SAFC Supporters' Association Player Of The Season award.
During the 2014–15 football season, Sheffield Wednesday F.C. competed in three professional football competitions.
 Sheffield Wednesday competed in the 2014–15 Football League Championship (finishing 13th), 2014–15 FA Cup, and the 2014–15 Football League Cup.
 It was the Owls' third consecutive season in the Football League Championship, having secured promotion from League One in the 2011–12 season, securing Championship safety on the last day of the 2012–13 season and securing a 16th-place finish last season.
 The Football League season kicked-off at the beginning of August, along with the League Cup in the same month.
 Meanwhile, with Sheffield Wednesday being within the top two-tiers of the English football league system, the club did not enter the FA Cup until the beginning of January 2015, where they entered at Round 3 of the competition.
The 2013 FA Cup Final was the 132nd final of the FA Cup, the world's oldest football cup competition.
 The match, contested by Manchester City and Wigan Athletic, took place on 11 May 2013 at Wembley Stadium in London, and kicked off at 5:15 p.m.
 It was Wigan's first FA Cup final and Manchester City's 10th.
 Wigan pulled off a shock victory against favourites City, winning in circumstances reminiscent of the 1988 FA Cup Final when Wimbledon overcame Liverpool.
 Ben Watson's stoppage-time headed goal produced the "greatest FA Cup Final upset for a quarter of a century".
 In the United Kingdom, the match was televised by ITV and ESPN.
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.
The 2009 season was Gangwon FC's first ever season in the K-League in South Korea.
 Gangwon FC competed in K-League, League Cup and Korean FA Cup.
 In K-League, they won two consecutive games at first, but two games afterward they have no wins in league by 10 round .
 They were eliminated from the League Cup as of May 5, 2009 after losing to Incheon United by 2-3.
 Gangwon won three games consecutively in the league by June 27.
 In Korean FA Cup 2009, however, they lost to Chunnam Dragons on 1 July.
The 2007 FA Cup Final was played on Saturday, 19 May 2007 between Chelsea and Manchester United.
 It was the 126th FA Cup Final and the first to be played at the new Wembley Stadium.
 Manchester United suffered a 1–0 defeat to Chelsea by Didier Drogba's extra time goal, completing a domestic cup double for the Blues in the 2006–07 season, as they had already won the League Cup Final in February .
 While United were favourite for playing a double of their own as they had recently beaten Chelsea to the Premier League title two weeks earlier.
 The game was widely considered to be a disappointment by pundits and fans alike.
 As a result of Manchester United and Chelsea having already been guaranteed qualification for the UEFA Champions League, the UEFA Cup entry for the FA Cup winner/runner-up went instead to the highest positioned Premier League team who hadn't already qualified for Europe: Bolton Wanderers.
Sunderland Association Football Club was founded in 1879 as Sunderland & District Teachers Association Football Club by James Allan.
 They turned professional in 1885.
 Sunderland won their first Football League championship in the 1891–92 season two years after joining the league.
 They won the next Football League First Division on three occasions in four seasons; in 1892, 1893 and 1895, separated by a runner-up spot in 1894.
 In the 1901–02 season, Sunderland won their fifth Football League First Division championship.
 They came close to completing the "league and cup double" in the 1912–13 season, winning the league but losing to Aston Villa in the 1913 FA Cup Final.
 The team's next success came in the 1935–36 season when they won the League Championship and also the Charity Shield.
 They had not won the FA Cup until the 1936–37 season when they defeated Preston North End in the 1937 FA Cup Final.
 Sunderland entered The Football League in 1890 and were not relegated from the top division until the 1957–58 season; a total of 58 seasons in the highest division of England.
 Their next trophy came in the 1973 FA Cup Final as they beat Leeds United 1–0.
 They reached the 1985 Football League Cup Final but finished as runners-up to Norwich City after being beaten 1–0.
 In the 1986–87 season Sunderland were relegated to the Football League Third Division for the first time in their history under the management of Lawrie McMenemy, they however, returned to the second division the following season as champions–their lowest position in the English football league system.
 Their first appearance in the Premier League came in the 1999–2000 season after being promoted as champions from Division One.
 In winning promotion the club gained 105 points, which was a record at the time.
 Sunderland gained just 15 points in the 2005-06 season, which set the record for the lowest number of points in a Premier League season, which has since been eclipsed by Derby County.
The 2014–15 season is Hull City's second season back in the Premier League after retaining their league status with their highest points total and highest finishing position of 16th in the 2013–14 season.
 They also competed in the League Cup and the FA Cup.
 As losing FA Cup finalists in the 2013–14 season they also took part in the UEFA Europa League and started in the Third qualifying round.
The 2013–14 season is Crystal Palace's first season back in the Premier League after 8 years.
 They clinched their place in the top tier with a 1–0 victory over Watford in the 2012–13 Championship Play Off Final.
 Palace spent eight seasons in the Championship after being relegated from the Premier League in the 2004–05 season.
 Crystal Palace also competed in the League Cup and the FA Cup.