In July 2016, Domgjoni was promoted to the U21 team and on 28 August, he made his debut in a 0–3 away defeat against Old Boys after coming on as a substitute at 46th minute in place of Izer Aliu.
[4] Fourteen days after debut, Domgjoni scored his first goal for Zürich in his second appearance for the club in a 1–1 away draw over Sion in Swiss Super League.
[9] His debut with Vitesse came seven days later in the 2021–22 UEFA Europa Conference League third qualifying round again against Dundalk after coming on as a substitute at 83rd minute in place of Danilho Doekhi.
[14] His debut with Kosovo came on 24 March 2022 in a friendly match against Burkina Faso after being named in the starting line-up and scored his side's fifth goal during a 5–0 home win.
[15] Domgjoni was born in Koprivnica, Croatia and raised in Zürich, Switzerland to Kosovan parents from the village Bishtazhin of Gjakova.