Ortega was handed the #10 shirt for the 1998 FIFA World Cup, where he was expected to carry the mantle of the team's playmaker, and it was his first World Cup as an established star. Despite impressing in the early rounds to be considered a favorite as player of the tournament, Ortega was most notable for his sending-off in the quarter-finals against the Netherlands. Ortega received a second yellow card for head-butting Dutch goalkeeper Edwin van der Sar when van der Sar confronted him after a dive in the penalty area, for which Ortega was just getting his first yellow card. Shortly after Ortega's sending-off, Dennis Bergkamp scored the winning goal to make it 2–1, eliminating Argentina.