Basha went to Theranda for the first time in his early childhood to learn the Albanian language and attended the elementary school for several years.

[7] He made his professional debut at the age 18, on 16 July 2005 in the 2005–06 season, in the match against Winterthur, which ended in a 5–4 victory for Lausanne, with Basha entering as a substitute in the 60th minute in place of Patrick Isabella.

He played 12 matches for Rimini in the second half of the 2007–08 season, since he made his debut on 2 February 2008 in the away victory 0–1 against Bari, entering as a substitute in the 77th minute.

Basha helped Frosinone reach the fourth round of the Coppa Italia and scored a goal against Varese.

[14] Basha made his debut for Atalanta on 21 August 2010 against Vicenza, playing the full 90 minutes as the match finished in a 2–0 victory.

[20] He made his first Serie A appearance in the opening matchday against Siena on 26 August, playing the last 14-minute of a goalless draw.

Basha continued to be injured due to poor treatment by Torino medical staff, which lengthened his injury up to nine-month.

[30] After spending nine years in Italy, Basha returned to Switzerland on a free transfer to FC Luzern on 10 August 2015.

He would later consider this move as the only blunder he's made in life, stating: "to return to Switzerland after playing for years Italy was just completely mistake.

[33] On 4 February 2016, Como officially announced to have signed Basha on loan until the end of the 2015–16 season in order to gain more playing time ahead of UEFA Euro 2016.

[37] Basha's spell at Como was fruitful, as he managed to regain his form ahead of the European Championship, making 13 appearances, all of them as starter, collecting 1020 minutes in the process.

[38] On 14 July 2018, Basha agreed personal terms with Greek club Aris Thessaloniki and signed a two-year contract worth €300,000 a season.

[47] FIFA once ruled out the switch of nationality by outside his country of birth (or parent and grandparent's country of birth), however had opened the door for Irish from Northern Ireland to represent Republic of Ireland,[48] which may apply to ethnic minority outside the boundary of modern political border.

Basha was called up to the Albania squad Gianni De Biasi on 15 March 2013 ahead of a match against Norway.

[50] On 22 March 2013, Basha debuted with Albania coincided in a 0–1 victory against Norway in Oslo, as part of 2014 FIFA World Cup qualification.

[52] Only two matches were enough and Albanian football opinion saw Basha as a replacement for the retired Altin Lala, according to his playing position and his abilities.

[54] Exactly one year after his second goal and last call-up, following his return to Torino in an impressive form also playing as a starter and holding the captain's armband against Lazio, Basha returned to the national team as he received the call up by the coach Gianni De Biasi for the fourth match of the UEFA Euro 2016 qualifying Group I match against Armenia on 29 March 2015.

Being a friendly match, the coach Gianni De Biasi left out all starting trio consisted of Burim Kukeli–Taulant Xhaka–Amir Abrashi[56] and Basha gained the chance to play it as a starter among Ergys Kaçe and Andi Lila to consist the central-midfielders trio in a historical successful 1–0 win against hosts of the UEFA Euro 2016 with a free-kick goal scored by Ergys Kaçe at the end of the first half in the 43rd minute.