World Cup finalist Croatia slumped to a 2-1 defeat to Hungary on Sunday, continuing their shaky start to European Championship qualifying.
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Croatia were forced to dig deep as they came from behind to beat unfancied Azerbaijan 2-1 at home.
In September, Lovren was charged with false testimony in a trial against officials at Dinamo Zagreb, one of the centre-back's former clubs.
Croatia defender Dejan Lovren has been banned for one international match over comments he made on social media about Spain and Sergio Ramos.
Luka Modric has hit out at players such as Cristiano Ronaldo and Lionel Messi for not attending award ceremonies when they are not going to win.
Luka Modric, who won the Champions League and reached the World Cup final, capped off 2018 by winning European football's oldest individual prize.
Real Madrid's Luka Modric will not face charges of giving false testimony in the criminal trial of his former boss at Dinamo Zagreb.
Dejan Lovren posted a video on Instagram following Croatia's 3-2 victory on Thursday, where he appeared to brag about elbowing Sergio Ramos.
Real Madrid's Sergio Ramos continued his beef with Liverpool's Dejan Lovren via a tactical 'like' on Instagram.
When asked how this England team compared to the one his side knocked out of the World Cup, Dalic said: "Football's coming home ... very soon."
It won't make up for a World Cup semifinal loss, but England were able to see off Croatia and advance in a fine advert for the UEFA Nations League.
England came from behind to beat Croatia 2-1 at Wembley and ensure progress to the UEFA Nations League semifinals.
Croatia coach Zlatko Dalic will speak with Dejan Lovren about comments the Liverpool defender made to Sergio Ramos on social media.
Croatia midfielder Ivan Rakitic will miss the winner-takes-all Nations League game against England at Wembley on Sunday due to injury.
Tin Jedvaj scored a dramatic stoppage-time winner to hand Croatia a 3-2 win over Spain in UEFA Nations League Group 4 on Thursday night.
It was a long way from the World Cup semifinal contested by the two sides in July; Croatia and England's latest clash was odd from start to finish.
Croatia and England drew 0-0 in the UEFA Nations League as a surreal match in front of an empty stadium in Rijeka produced only a few chances.
"It will be tough," Modric said. "It's a strange environment for both teams, playing in front of an empty stadium."
Local media reported that the reason the court had rejected the false testimony charge was that it had been 'premature.'