[1][2] Abilaliaj previously played for Partizani Tirana, where he appeared as the club lost in the UEFA Intertoto Cup 2006 first round to Ethnikos Achna FC,[3] despite scoring a goal in the second leg.
[7] His made his Tirana debut on 15 July in the first leg of Champions League first qualifying round against Stabæk, entering in the field as an 85th-minute substitute in an eventual 1–1 home draw.
[18] On 31 March, he scored his second league goal of the season during the 3–0 defeat of Kastrioti Krujë, heading home a Fatmir Hysenbelliu cross.
In his first league appearance four days later against Lushnja, Abilaliaj came in a second-half substitute and scored a crucial goal in 91st minute to help his team to win the match 4–3.
[25] On 22 February of the following year, Abilaliaj scored his first goal of 2014 during the 3–2 away lose to Kukësi, heading home a Gilman Lika cross in the 85th minute.
[26] He continued with his solid appearances even in Albanian Cup, netting a winner against Vllaznia Shkodër in the Quarter-final's second leg, sending Flamurtari Vlorë into the semi-finals with the aggregate 1–0.