Switzerland coach Murat Yakin praised his side's performance despite conceding a last-gasp Niclas Fuellkrug equaliser in Sunday's 1-1 draw with Euro 2024 hosts Germany in Frankfurt.
The result means Switzerland, rather than Germany, face a tougher last 16 assignment, setting up a potential meeting with holders Italy or 2018 World Cup finalists Croatia.
PSG, led by Kylian Mbappe, hit the post twice in quick succession early in the second-half but could not break through.
Atletico Madrid were bidding to reach the last four for the first time in seven years, but fell at the quarter-final stage for the third time in five seasons.
A hat-trick from Niclas Fuellkrug powered Borussia Dortmund to a 3-1 win over Bochum on Sunday
In-form striker Niclas Fuellkrug's Borussia Dortmund host his former side Werder Bremen on Friday, continuing the forward's stunning late-career flourish