Portugal slumped to an embarrassing 1-0 defeat at home to Albania in their opening Euro 2016 qualifier in Lisbon.
Former Greece coach Fernando Santos has been handed an eight-match international ban.
Greece have appointed former Chelsea boss Claudio Ranieri as their new manager.
Greece captain Giorgos Karagounis has retired from international football following his country's World Cup elimination.
Costa Rica booked a quarter-final date with Holland as they held on with 10 men to see off Greece 5-3 on penalties.
Greece coach Fernando Santos admitted defeat to Costa Rica was hard to take as they secured a penalty shoot-out victory.
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