Under new manager Edmondo Fabbri, Albertosi became a regular in Italy's squad; he played his first World Cup with Italy in England 1966, where they were surprisingly and disappointingly knocked out in the first round. In the 1970 World Cup in Mexico, Albertosi was once again named Italy's starting goalkeeper, due to his excellent and consistent performances throughout the season with Cagliari. He started in all of Italy's matches, and was involved in the so-called "Game of the Century", when Italy played West Germany in the semi-final of the tournament; despite conceding three goals in this match, and some moments of hesitation and indecisiveness, Albertosi later won praise for a string of decisive acrobatic saves. He is also remembered for berating Gianni Rivera during the match, following the playmaker's error when defending a set-piece, which led to Germany's equaliser: Rivera briefly stepped away from the post, leaving it unmarked, and allowing Gerd Müller to score his second goal to tie the match at 3–3 in the 110th minute; Rivera later redeemed himself by scoring the match-winner a minute later. Albertosi later appeared in the 1970 World Cup Final, where Italy became tournament runners-up as they lost 4–1 to Brazil.