From winning the league, they qualified for the 2020 Supercopa Peruana where they would lose to Copa Bicentenario champions, Atlético Grau 3-0.

Although it also managed to gain the recognition of the population of Paucarpata and Moquegua for its campaigns in the Copa Perú and in professional soccer respectively.

The club debuted in the Liga Superior de Puno of the 2011 Copa Perú tournament and finished fourth in the standings with 14 points.

This year Binacional was eliminated in the Departmental Stage after Policial Santa Rosa from Puno defeated them on a 1–2 aggregate score.

Binacional switched its locality to the Paucarpata District in the Arequipa Region in 2016, on the orders of the club president, Juan Carlos Aquino.

That year, Binacional started its campaign winning 8 out of 9 games of the Liga Distrital de Paucarpata, scoring 70 goals and finishing first place in the standings with Luis 'Puchito' Flores as head coach.

The second game was against eventual champion Sport Rosario from Huaraz which it lost 2–3 with an own goal by Carlos Aspilcueta at the 73rd minute.

On the last matchday, Binacional won 1–0 against Estudiantil CNI from Iquitos and Atletico Grau was able to defeat José Carlos Mariátegui.

[3] Before the start of the 2018 Torneo Apertura, the team temporarily moved to Moquegua's Estadio 25 de Noviembre in an effort to attract more fans.

[9] It enrolled Estadio Guillermo Briceño Rosamedina in Juliaca as their new home stadium, at 3824 meters above sea level.

However, this stadium did not meet the necessary standards established by CONMEBOL to hold an international match, and therefore El Poderoso was forced to play their home games of the 2019 Copa Sudamericana at the Estadio Monumental de la UNSA in Arequipa.

The club's first game in an international competition was a 1–4 loss in Avellaneda, with Jeferson Collazos scoring the only goal for El Poderoso.

[12] It had an almost perfect run at home scoring 3 goal per game on average and only losing to another high-altitude team, Sport Huancayo.

During this time it was led by Peruvian coach Javier Arce, who left the club after the first half of the season because of disagreements with the owners.

[15] This also granted Binacional the opportunity to play the 2020 Copa Libertadores, the most prestigious competition in South American club football, for the first time in its history.

On 2 December 2019, a few days before the tournament final, Binacional players Juan Pablo Vergara, Donald Millán, and Jeferson Collazos were involved in an automobile accident while travelling between the cities of Puno and Juliaca.

Ángel Ojeda, Edson Aubert, Aldair Rodríguez, and Donald Millán scored for the home team.

This game was the first to incorporate the use of the video assistant referee (VAR) review system in Peru's professional league.

[17] Ahead of Binacional's title defence and debut Copa Libertadores campaign, key players Rodríguez, Millán, Aubert and Hervé Kambou departed to join América de Cali, Universitario, Melgar and Sport Huancayo respectively, and coach Roberto Mosquera was appointed by Sporting Cristal.

[18] With this significantly weakened squad, as well as the refusal of the Peruvian government to allow the club to play its home Libertadores matches in Juliaca (Binacional was only permitted to play in Lima due to the COVID-19 pandemic in Peru), the team's continental participation was a dismal one, including home and away defeats to River Plate by scorelines of 6–0 and 8–0, a 5–1 loss in Brazil against São Paulo and another defeat against LDU Quito, losing 4–0.

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