In 1937 Peřina represented the Czechoslovak air force at the International Air Show in Zurich, Switzerland in an Avia B-534. There he met the German contingent headed by World War I ace Ernst Udet, the then chief of the Luftwaffe's office of supply and procurement, and Erhard Milch, second-in-command of the Luftwaffe. The German team were equipped with the Heinkel He 51 and the new Messerschmitt Bf 109. Peřina took third place in both aerobatics and in the climb-and-dive competition, and fourth in the cross-country flight: behind the German pilots.