Costa Rica coach Jorge Luis Pinto praised his players' character after they overcame a second-half red card, conceded a late leveller and sustained attacks from Greece to reach their first ever World Cup quarter-final.
Holland lie in wake for los Ticos after a topsy-turvy encounter in Recife, where they went ahead early in the second half through captain Bryan Ruiz's first-time strike.
That looked to be enough for Costa Rica, only for Greece defender Sokratis Papastathopoulos to net a stoppage-time leveller to take the last-16 encounter into extra-time.
The match eventually went to penalties and, after man-of-the-match Keylor Navas saved Theofanis Gekas' attempt, Michael Umana struck home to send the Central Americans into the last eight.