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.
Croatia are hoping to match the achievement of their predecessors from the 1998 World Cup, where the team reached the semifinal. "He congratulated us on a very good game".
Modric said: "Our style was cramped a bit and maybe we did not want to risk with passes, so we had to balance it out in the second half. I believe that people did not only start trusting us but they are in love with us". "We have to improve that element as we conceded there today", Modric said, referring to Russia's late 2-2 equalizer which sent up the penalties.
"There was not a single national team playing in this World Cup which had the complete trust of their country".
Croatia now travel to the Russian capital to face England in the second semifinal.
Both sides book their places in the last eight courtesy of dramatic shoot-out wins, with Croatia beating Denmark and the hosts shocking Spain.
Croatia goalkeeper Danijel Subasic once again came up big, making some big saves in regulation, one after getting injured, and saving Russia's first penalty kick.
At 1-1, Fernandes missed his shot - only the second player to miss in any of the four shootouts at this year's World Cup.
Veteran defender Sergei Ignashevich, Vida and Daler Kuzyaev then all scored to make it 3-3, leaving Ivan Rakitic to calmly convert the winning penalty...
"We dominated in extra-time and were the better team, we should have finished the job before penalties - but maybe it is written in the stars that we had to go through the extra drama".
Denis Cheryshev marked his return to the starting line-up with yet another contender for goal of the tournament after his stunning efforts against Saudi Arabia and Egypt in the group stage, but his first-half opener was cancelled out by Andrej Kramaric just eight minutes later. Andrej Kramaric (Croatia) header from the centre of the box to the bottom right corner.
Russian Federation will on Saturday night clash with Croatia in the 2018 FIFA World Cup quarter-final fixtures at the Fisht Stadium.
Croatia's Luka Modric celebrates after scoring a penalty kick during the quarterfinal match between Russia and Croatia at the 2018 soccer World Cup in the Fisht Stadium, in Sochi, Russia, Saturday, July 7, 2018.
Hosts Russia has been the surprise package of the tournament and endured a real battle against Spain eventually prevailing after penalties.
"This was not a handsome game, but it was a fight", Croatia coach Zlatko Dalic told reporters.