In September 1962, he took charge of the replay of the 1962 European Cup Winners' Cup Final, in which Atlético Madrid beat Fiorentina 3–0.
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By 1966, Tschenscher was one of the top referees in Europe, a fact reflected in his appointment to the first leg of the 1965–66 European Cup semi-final between Partizan and Manchester United, and then a group stage match between Brazil and Bulgaria at the 1966 FIFA World Cup.
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The following season, he was named as the referee for the 1967 European Cup Final between Celtic and Internazionale.
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He was appointed to quarter-finals at both Euro 1968 and Euro 1972, and a semi-final at Euro 1968, as well as the opening group stage game between Mexico and the Soviet Union at the 1970 World Cup, which saw him become the first referee to show a yellow card in a match.
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