[1] Trashi began his career with his local team KF Gramshi, where he was promoted to the senior side in 2008 while the club was in the Albanian Second Division.
[6] He was hit by controversy in April 2013 when he fell out with his head coach Edmond Hida and was expelled from the squad due to what he described as Trashi's unsporting behaviour.
[10] He quickly established himself as a first team regular, playing on both sides of the midfield and developing an effective relationship with Erlind Koreshi on the opposite flank and with the striker Mikel Canka.
[20] On 21 June 2020, Partizani Tirana through a communiqué stated that Trashi from next season would be part of Kuwait Premier League club Qadsia.
[21] Trashi was first involved internationally when he was invited by Albania U21s coach Skënder Gega to a three-day trial in February 2013 while he was playing for KF Gramshi.
[22] He came on as a second-half substitute in the unofficial friendly against Kosovar Superliga side KF Drenica at the end of the trial, which Albania U21s lost 2–0.