They, together with such sides are KS Dinamo Tirana, Vllaznia Shkodër and FK Partizani, have continued to dominate the Albanian scene until the present day.

The years following World War II saw a new political order, with the introduction of a communist system which had a positive impact as far as the game's appeal was concerned.

[4] The following year, Partizani won their first-ever match in the European Cup 1963-64 in the first leg against Plovdiv through a goal from Kolec Kraja.

[10] Partizani Tirana qualified for the Cup for the fourth time in 1979–80 and beat Celtic 1–0 in the first match with a header from Agim Murati in the 35th minute.

KF Tirana won the second leg game 5–0 with goals from Agustin Kola, Bardhi, Hodja, and Florian Riza to advance to the round of 16 for the third time in the club's history.

Flamutari Vlora[25] and, in recent years, KF Skënderbeu Korçë have been the most successful Albanian teams in the UEFA Cup.

[26] In the first leg, Dinamo faced the opposition at home at Selman Stërmasi Stadium, winning 1–0 with a goal from Vasillaq Zëri.

Partizan led the match 2–0 until Sokol Kushta scored to clinch a 2–1 result and advance Flamutari to the second round for the first time in the history for Albania in the UEFA Cup.

They won the second leg match at home 2–0 with goals from Rrapo Taho and Vasil Ruci to become the first Albanian team to qualify for the round of 16 in the UEFA Cup.

[48] In the following 1972-73 UEFA Cup Winners' season, KF Besa Kavajë debuted in the first round against Fremad Amager from Denmark.

[55] Albania qualified for the first time in their history at the UEFA Euro 1964 in Spain, for its first-ever major men's national football Tournament.

The Albanians started the match well as Panajot Pano puts Albania in front in the 29th minute but once again they couldn't held on to the result.

[67][68] Albania went on to disappoint by losing to Georgia away and Denmark at home, before returning to winning ways by beating Kazakhstan 0–1 with a goal from Alban Bushi.

[73] The team was at one point 2nd with 6 matches played and 4 to spare, but failed to be successful in the last four, losing away in Slovenia and Iceland,[74][75] as well at home against Switzerland,[76] and drawing in Cyprus.

Albania made history again by beating one-time world champions and UEFA Euro 2016 hosts France at the Elbasan Arena in the "Group I" friendly match.

Despite losing to Portugal and Serbia, Albania defeated Armenia 3–0 in Yerevan and qualified for UEFA Euro 2016,[88] for its first appearance at a major men's football tournament after 50 years.

[cleanup needed] Albania did play a strong match even though with 10 men because Lorik Cana got a red card for holding the ball with his hand in the 36th minute.

Albania did everything in the second half and had 6 minutes before the end an amazing chance to equalize in the closing stage of the match, to get a deserved draw but Shkelzen Gashi missed a sitter in front off the goal.

After their close miss to qualify for the 2022 FIFA World Cup in Katar, in which Albania finished third in the Group with a record of six wins and 18 points along the way.

[94] In the UEFA Euro 2024 qualifying Group E Albania were drawn together with Czech Republic, Poland, Faroe Islands and Moldova.

[109][110] Albania Under-21 participated in the Balkan Youth Championship as a successor to the Under-23 team, in the 1976–78 and 1981 competitions, winning both with finals against Romania and Bulgaria.

[113] Than the Albania national under-18 football team were able to participate for the first time ever in the 1982 UEFA European Under-18 Championship after beating Cyprus 4–2 on aggregate in the Playoffs.

Naim Kryeziu started his long football career in SK Tirana where he played for six seasons winning four Kategoria Superiore between 1934 and 1939 as well as one Albanian Cup title in 1938-39.

Loro mostly played for Partizani Tirana in his footballing career, winning with them three times the Kategoria Superiore as well with Albania the 1946 Balkan Cup in home soil.

He had a short spell in Italy with Lazio Rome where he scored three goals being the first Albanian footballer to play abroad in the Seria A.

[128] He is also well remembered by world known players such as Franz Beckenbauer, Willi Schulz as well as Fenerbahçe president of Albanian descent Myslym Bey praising him as a talented striker comparing him to Pelé and Eusébio.

[133] In recent history Albania produced top talented players such as Lorik Cana he played for Paris Saint-Germain F.C.

[139] In cooperation with FSHF, it organises trips for football fans to visit games, and develops and sells merchandise to support itself and fund sporting related projects.

[141][142] In this sense, TKZ is joined by different supporters' associations throughout Albanian-speaking regions mainly in Kosovo (Shqiponjat of Peja, Kuqezinjet e Jakoves of Gjakova, Plisat of Prishtina, Torcida of Mitrovica, etc.

FSHF president Armand Duka is highly unwanted by the TKZ who have numerously asked for his resignation believing he is responsible for internal corruption in the Albanian Football Association.