After a 2-2 tie after the extra time, Croatia beat Russian Federation 4-3 in the penalty shootout, entering the World Cup last four for the first time in 20 years and breaking the jinx that they had no win over World Cup hosts after they lost to France in the semifinal in 1998 and Brazil in the opener in 2014. Ivan Rakitic scored the winning penalty as Croatia returns to the semifinals for the first time since 1998.
Working the ball quickly upfield near the sideline, Croatia got the ball into the box on the feet of Mario Mandzukic, who fed in a cross for Kramaric to head home from eight yards.
In the 11th minute of extra-time Domagoj Vida nodded in, before Fernandes brought things level once again.
Croatia who will be appearing in the semi-finals for the second time in the history of FIFIA World Cup have now suffered only three defeats in their last 23 outings.
"At certain moments we lacked power but that's twice in six days that we have played 120 minutes", said skipper Modric.
The former Leicester City striker's looping cross eventually found its way to Ivan Perišić, who struck the post - with Igor Akinfeev well beaten, as the game eventually went to extra-time.
The midfield is seen as a key battleground on Saturday, with Croatia's midfielder Luka Modric regarded as one of the best exponents in the world. "Thank God everything is fine with him".
Modric knows there will be no easy ride against England at the Luzhniki Stadium in Moscow. Liverpool defender Dejan Lovren expects "a great encounter" as "we have four days to rest and prepare for the game".
Fisht Stadium has already witnessed some of the most intense and spectacular action of Russian Federation 2018, and the local fans will be hoping to bid a fond farewell to the venue by seeing the hosts advance to the semifinals.
Russian Federation coach Stanislav Cherchesov felt his side had exceeded their expectations after coming into the tournament as the lowest-ranked nation. But they can be proud of their efforts, with a run to the last eight exceeding expectations for a side written off as no-hopers before the tournament.
Rare chances for Stanislav Cherchesov's team saw Dzyuba head tamely at Danijel Subasic from a 62nd-minute corner, before substitute Aleksandr Erokhin sent his header well over the bar from Fernandes' cross on the right 10 minutes later.
Argentina in 1990 had been the last team to win consecutive World Cup shootouts. If they trusted us or not, we trusted ourselves. "I believe that people did not only start trusting us but they are in love with us". "We have been a very good host from the point of view of football and sports, organization and administration".
"Let's not be happy with what we have achieved and go ahead".
Cherchesov added: "My players were very fearless, tonight luck was against us, but in four years from now, let's talk again".