Djimsiti was then called up from the Switzerland national under-19 football team for the 2011 UEFA European Under-19 Championship qualification and made his debut against Montenegro U19 on 5 June 2011, playing the full 90- minutes match in a 2–2 win. Djimsiti also participated in the next tournament for U-19, the 2012 UEFA European Under-19 Championship playing in all 6 matches.