Croatia, who reached their first semifinal since 1998, dominated possession over the 120 minutes but were let down by poor final passes and were vulnerable to Russia's aerial game.
Russian Federation had an opportunity when Dejan Lovren gave the ball away in his own third, but was able to recover to muscle Fedor Smolov off the ball.
Cheryshev exploited it in a way the likes of Jesse Lingard and Harry Kane could come Wednesday, launching a long-range effort which had Danijel Subasic helpless in the Croatiagoal.
The crowd erupted, but Croatia were undeterred and equalised just eight minutes later.
The arrival of the host nation for the final World Cup match at the Fisht Stadium meant by far the most vibrant atmosphere yet at this Black Sea beach resort.
The game went to extra-time with Subasic staying on the pitch despite appearing to injure his hamstring late on in normal time.
But Pivaric was whistled for handling the ball at the corner of the box, and Dzagoev's cross was flicked inside the back post by Fernandes to level the game in the 115th minute.
Zlatko Dalic's charges nearly came unstuck though in the last 16 round against a stubborn Denmark side in a match they eventually won 3-2 on penalties, following a 1-1 stalemate after 120 minutes. Striker Mario Mandzukic ran unchallenged into the penalty area and chipped a low ball back into the centre where the unmarked Kramaric scored with a glancing header.
Revoyez l'incroyable but de Denis Cheryshev contre la Croatie
Le capitaine des Vatreni était en revanche quelque peu passé au travers du huitième de finale face au Danemark (1-1, 4-3 TAB). Sur un corner de Luka Modric, Domagoj Vida a cru inscrire le but de la victoire d'une reprise croisée de la tête (1-2, 101e).
How to Watch Russia vs. Croatia
They return to action on Wednesday when they meet England (19:00 BST) in Moscow for a place in the final on 15 July. However, a bigger issue for coach Zlatko Dalic will be how to get more decisive performances from his top players.
Captain Luka Modric is expected to partner Ivan Rakitic in the midfield, while Mandzukic will lead the attack line.
And against Croatia came a third, the likely victor, as Cheryshev one-twoed with Artem Dzyuba down the left before curling powerfully into the top left corner from 25 yards, giving Russian Federation the lead.
Croatia went agonisingly close to taking the lead for the first time on the hour, but Perisic was denied by the upright after Igor Akinfeev flapped at a lofted ball from Kramaric.
Domagoj Vida looked like he had won it for Croatia in extra-time, only for naturalised hero Mario Fernandes to find an even later equaliser to force a penalty shootout.
Vida removed his shirt as he ran away in celebration, possibly thinking Croatia were heading through.
Kramaric threatened again seven minutes into the second half, although his overhead-kick was comfortably claimed by Akinfeev, who saw Ivan Strinic fire well over the crossbar from 22 yards out on the left in the 58th minute, before the woodwork came to Russia's rescue two minutes later.
There is a comprehensive argument that Luca Modric has been the best player at the World Cup.
- Only one of the last six World Cup matches to go to extra-time has not gone to penalties - the 2014 final between Germany and Argentina.
Il est celui qui a liquidé le plan de Barack Obama visant à fermer les centrales électriques à charbon les plus polluantes. Dans sa lettre de démission, Scott Pruitt dénonce "les attaques incessantes" dont il estime avoir été victime.
Cette rencontre France/Uruguay a ainsi permis à TF1 de réaliser sa meilleure audience depuis le début de l'année 2018. Le but a été inscrit par le défenseur Raphaël Varane sur un coup franc tiré par Antoine Griezmann à la 40e minute.
Search and rescue crews may be prohibited from engaging in search missions because of fire danger, the office said. Elsewhere in California, the 138-square-mile County Fire northwest of Sacramento was almost 50 percent contained.
The heavyweight champion stands at 6-foot-4 and has an 80-inch reach, while Cormier stands 5-foot-11 with a 72-inch reach. The Vegas bookies, though, still have Miocic as the prohibitive favourite going into Saturday's big fight.
Halep failed to carry on the momentum, and a huge forehand victor gave Hsieh the first break of the second set and a 2-1 lead. After Halep started strongly to win the opener it was her 32-year-old opponent who responded well to force a deciding set.
It's our turn this time, hopefully. "I suppose deep down I've always held those beliefs and held my own values", Southgate said. That's something we've got to think about tactically", he added. "It never looked like we were going to lose".
Howard had a solid season past year in Charlotte, averaging 16.6 points, 12.5 rebounds, and 1.6 blocks per game. Howard himself should be quite excited to finally get to suit up on the court with his good friend Wall.
He is the only evangelical Christian on the list of nominees Trump is considering; everyone else is Catholic. Asked about the details of the selection process, Trump said he has it down to four people.
Leurs mots sont souvent émouvants. " Je vais bien, mais il fait un peu froid ici . ne vous inquiétez pas pour moi . Le parcours est long de plusieurs kilomètres dans des boyaux accidentés , avec de difficiles passages sous l'eau.
Keanu Reeves Reveals The Title Of John Wick: Chapter 3
It's part of that famous sentence, "Si vis pacem, para bellum", which translates as, "If you want peace, prepare for war ". John Wick was a legendary assassin who went into retirement once he got married. "Prepare for war", he told the website.