Knowing that victory over Switzerland would have taken them into the last 16, Serbia made a fast start to the match but lost by 1-2.
Having done the hardest part, the Serbians wanted more. Driven on by Dusan Tadic, who was in inspired form down the right flank, they strove to extend their lead.
The Swiss hung in, patiently putting moves together but without genuinely threatening. Blerim Dzemaili had their best chance half an hour in, forcing Serbia keeper Vladimir Stojkovic to push the ball clear.