Meanwhile, the video has caused outrage in Russian Federation, with TV networks showing the pictures and clearly furious, according to The Sun.
Vida, who represented Dynamo Kiev from 2013 until this year, has tried to play down his comments as "just a joke", saying that he "likes Russian people" and that there were "no politics involved".
Russian Federation has been basking in the spotlight this World Cup, playing to the roaring crowds at home and winning games.
Vida came unmarked in the middle of the penalty area and his header managed to bounce through traffic and roll into the net to give the Croatians the advantage in the 101st minute.
Spartak Moscow winger Alexander Samedov also confirmed he is retiring from worldwide football after Russia's defeat.
After ending the home side's incredible run, Zlatko Dalic's side will aim to at least go one better than the famous 1998 vintage, who finished third in France, when they meet England at the Luzhniki Stadium on Wednesday.
How to Watch Colombia vs England
Tite's Brazil eased to a 2-0 win over Mexico on Monday and are still the favourites to win the World Cup with the bookies. The center back was among the 21 players practicing in light rain on Saturday at England's training base just outside St.
"Thanks to the team for all the emotion and sleepless nights!"
He also praised Sterling's pace and power, and said he and his coaching team would be analysing England more closing over the next two days before passing that information on to his players.
However, world football's governing body was alerted to a video on social media in which Vida appeared alongside former Dynamo Kiev team-mate Ognjen Vukojevic and said "Glory to Ukraine" - a phrase used by Ukrainian nationalists.
It wasn't immediately clear whether Vida and Vukojevic intended the video to be made public, or if it was later uploaded to YouTube by someone else.
"FIFA is processing the different reports of the said match as well as potential evidence concerning the matter", the statement read.
"Please understand, until we have evaluated all information available, we can not comment further".
The pope, an Argentine and an avid soccer fan, noted a preponderance of Brazilian flags on display in St. Peter's Square during his traditional Sunday blessing. "I expected to see him today, but I hope to see him soon.". "There'll be a next time". Argentina was eliminated from World Cup contention in the first of the knockout rounds.