The club were the most successful teams in the amateur era of Argentine football, winning 10 of the 14 league championships they contested.
Alumni participated in the inaugural Association Football League (AAFL) league in 1893, and played again in 1895 and 1900, under the name English High School. In 1901 they changed their name to Alumni, they continued to play in the league until the club were disbanded in 1911.
The club were disbanded for two main reasons, the first was the shortage of players caused by the fact that they rarely allowed players from outside the institution of the English High School. The second main reason was that the club was losing a lot of money and it seemed unlikely that they could fulfil their fixtures for 1912.
Kept as a social club for several years, Alumni started a youth rugby team in 1951, which achieved good results. In 1960 the club presented a team that won the third division of the Buenos Aires league, reaching second division. The club would later climb up to first division and win 5 titles; 4 consecutive between 1989 and 1992, and in 2001.
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Even though they only played 14 championships, they are still the 6th most successful team in Argentine football history, if counting amateur championships.