Denmark took a lead within the first minute.
Denmark took the lead in the first minute as Huddersfield's Jorgensen squeezed in from close range, but Croatia levelled just three minutes later from Mario Mandzukic's fortuitous strike.
For the Danes, the high watermark in their World Cup history also came in 1998, when Denmark reached the quarterfinals, where they were eliminated by Brazil - who in turn reached the final before being trounced 3-0 by France, as FIFA.com records.
So after another lively affair how did the players rate? The former Manchester United keeper did the same when Kasper Schmeichel stopped two penalties in the shootout. People get to know each other on the pitch.
However, captain Luka Modric was unable to add to his tally at the tournament, as Schmeichel saved the spot-kick to force a penalty shootout.
Croatia will once again depend on Modric, who has been in outstanding form, and fellow midfielder Ivan Rakitic to deliver the goods.
At the other end, the Blazers struggled to break down the opposing defence, forcing Ivan Rakitic to long-range efforts, while Ivan Perisic and Ante Rebic failed to profit from poor goalkeeping.
The largely disappointing Croatians had to rely on a penalty shootout to see off a Denmark side which had, for the majority of the 120 minutes, been the better team.
Half-time summary: It was like Croatia and Denmark started their match from where Russian Federation and Spain ended theirs.
Neither side had previously conceded from open play in Russian Federation - but the prospect of an unexpected glut of goals faded as quickly as the tempo.
Subs: Livakovic, Corluka, Kovacic, Kramaric, Jedvaj, Bradaric, Caleta-Car, Badelj, Pjaca, Pivaric, Lovre Kalinic. But Jorgensen saved what would have surely been a goal, and then his goalkeeper Kasper Schmeichel came to the rescue.
Rebic has Knudsen on a plate on the right edge for Croatia! Henrik Dalsgaard, 4. Simon Kjaer (c), 13.
Knudsen's long throw-in falls to Thomas Delaney.
Croatia will next face host Russian Federation in the quarterfinals on Saturday in Sochi. Eriksen however, remains their only realy player possible of creating the magic needed to put the ball in the back of the net.
That'll be the end of the first half.
45' - Substitution: Denmark's Lasse Schöne replaces Andreas Christensen.
Nicolai Jorgensen (for Cornelius 66) - 5 - Entered the fray in a like-for-like swap with Cornelius, and provided his side with an equally effective outlet up top.