Lila began his career with local side Besa Kavajë, where he made his debut in 2002 as a 16-year-old and soon became a regular first team player, which earned him a move to Greek club Iraklis in January 2007.

Under Gianni De Biasi he has primarily played as a right midfielder or right winger since 2014, and he has helped Albania qualify for its first major international tournament as they reached Euro 2016.

Lila's performances at right-back paved the way for his move to Greek club Iraklis in January 2007, where he joined fellow Albanians, Enea Koliçi, Elvis Kaja and Indrit Fortuzi.

[4] Lila completed his move to Tirana on 21 July 2008 after him and his agent Sokol Haxhia agreed to terms with the capital club and its president Refik Halili.

[8] During the entire 2008–09 season he became the club's first choice right back and he played 29 games, he also proved that he has attacking qualities as well by scoring 4 goals during the campaign.

[10] Tirana also went into the final of 2008–09 Albanian Cup, where "The White and Blues" were defeated 2–1 by Flamurtari Vlorë, in a match where Lila was an unused substitute.

[12] Later, on 16 August, Lila won his second silverware at Tirana, the Albanian Supercup, where he aided the team to beat Flamurtari Vlorë 1–0 at Qemal Stafa Stadium.

[13] Lila completed a transfer to Greek side PAS Giannina on 24 June 2011 by signing a three-year contract worth €200,000 plus bonuses.

[14][15] He was given squad number 3 and made his competitive debut on 27 August by starting in the goalless draw against Aris Thessaloniki in the opening week of 2011–12 Superleague Greece.

[16] In his first full season at Ajax of Epirus Lila contributed with 21 league appearances, scoring no goals as the team finished 8th in championship.

[20] His second of the season came on 24 January of the following year in the second leg of Greek Football Cup against Fostiras, leading his team into a 2–3 win and progression to quarter-finals.

[31] In his first game back after returning from injury, Lila scored his first goal for Parma against Sassuolo on 15 March 2015; having played from the start, with the match ending as a 4–1 defeat for the Gialloblù.

[45] He returned on the starting lineup four days later by playing 64 minutes in the 3–0 loss at Veria,[46] and scored his first of the campaign later that month, an opener in an eventual 1–1 home draw against AEK Athens in the matchday 30.

[50] Lila was first called up to the Albania national team by Otto Baric in late 2007; it was his performances as a right back for Besa Kavajë in the Albanian Superliga that caught the eye of the Croatian.

[52] The next manager of the national team also liked Lila's play and this earned him a call up by Arie Haan to his first game in charge which was a friendly against Poland on 27 May 2008.

Andi Lila managed to play another two games under Arie Haan, in a friendly against Liechtenstein and a 2010 World Cup qualifier against Malta.

[58] After winning 0–3 at Vazgen Sargsyan Republican Stadium against Armenia on 11 October 2015,[59] Albania's spot at UEFA Euro 2016 was confirmed as team finished second in Group I with 14 points.

[68] On 16 July 2015 Lila was decorated with the "Honorary Citizen of Kavaja" award for protecting the national symbols and for his contribution to Albanian football.