 After making 263 appearances for Flamurtari between 2006 and 2015, Veliu left to join fellow Albanian Superliga club Kukësi.On 1 February 2016, Veliu joined Partizani Tirana where he signed a contract until the end of the season with an option to extend it for a further year.After some matches in bench, Veliu made his first appearance with "Red Bulls" on 20 March by playing in the last 13 minutes of a 0–2 win at Teuta Durrës.