Both of these teams have got better as the tournament has gone on, and they have both claimed notable scalps too - France by beating Argentina in the last 16 and Belgium knocking out my tip, Brazil, in the quarter-finals.
They have experience, bags of talent and there is no questioning their fighting spirit yet there is something still strangely lacking in the Croatia team which has reached the World Cup semi-finals for the second time in their history.
Subasic suffered a tight hamstring towards the end of Croatia's quarter-final win over hosts Russian Federation and was unable to take goal-kicks before the tie went to penalties.
Croatia will square off with England in the World Cup semi-finals on Wednesday night.
Kane became just the third England player to hit a World Cup hat-trick in the 6-1 rout of Panama, joining Lineker and Geoff Hurst, the star of the 1966 final victory over West Germany.
Well, ever since the inception of the FIFA World Cup, there have been unexpected ousters of relatively stronger teams by the so-called weaker teams in nearly every edition.
Fans gather during a meeting with Russia's national soccer team at the FIFA Fan Fest in Moscow, a host city for the 2018 FIFA World Cup, Russia July 8, 2018.
Looking ahead to the England match, the coach said: "We do not want to stop, we will try to play our best game". "He congratulated us on a very good game".
Vida, who scored in extra time before his side's win on penalties, shouted "Glory to Ukraine" in Ukrainian.
After once again starring as Real won a fourth Champions League crown in five seasons by beating Liverpool in Kiev in May, Modric will be nearly assured of winning the Ballon d'Or if he can lead Croatia all the way to improbable World Cup glory.
Former Croatia coach Slaven Bilic, meanwhile, said his country will be aiming to exploit England's weaknesses when they are not in possession. "We're putting the smile back on people's faces and making them feel proud about England again".
"Playing Brazil was a useful test for Croatia".
"I was concentrating throughout the match, but after Rakitic's penalty, the emotion came bursting out of me".
"We believe in our strengths", he said, as reported by BBC Sport.
"We did win. Most importantly, they won for us, for the whole country".
"I thought it was a great performance, obviously with so much pressure - the world watching on, England watching on", he added.