Video assistants should be used in the Premier League next season, as the clubs generally agreed in a move.
The Premier League will now formally request the Committee for International Football Associations and FIFA.
VAR was used at the World Cup in 2018, working in the Italian and main divisions in Germany, and was used on some FA Cup and Carabao Cup matches.
The Premier League is conducting a "non-live" trial this season.
VAR will also be used in the Champions League from the following season.
There have been growing calls for entry into the English top flight for several years now.
But in April, clubs from the Premier League voted against being used for the 2018-19 season.
On Saturday, Southampton striker Charlie Austin called for a change after being denied an offside goal against Watford, a decision he called a "joke."
Saints manager Mark Hughes added: "All major sports have video reviews and for some reason the Premier League, which is being watched all over the world, is still in the dark years."
VAR this season regularly tapped into the "inanimate environment" in the Premier League, although those who were at the trial were contacted by the officials of the game.
Clubs received updates at a meeting on Thursday.
A Premier League statement said the testing program will continue until the end of the season "with a focus on those Saturday afternoons that have several games that are played simultaneously."
It will also be said that the VAR decisions will be delivered to fans in the stadium.
Former judge of the League of Champions Mark Halsey, who speaks in the afternoon edition of BBC Radio 5 live: "I think it's a good thing. I know that many people are against it, but now we have to accept it and move on.
"This season we saw a series of incidents that were called wrong, especially this weekend when there were several goals off when they were not supposed to be.
"I think that as long as we have training and education right, and we get the right staff, that's the most important thing for me.
"Judges will still want to get out and get decisions on key matches, it is very important that judges do not hide behind the VAR – they will still make those big calls right."
What is VAR?
The theory behind VAR is simple: more precise decisions, more often at the most important points in the games.
The field referee makes all the same calls, at the same speed and without help, as well as without the system.
However, VAR – current or former Supreme Court Judge – has at his disposal to verify decisions on four types of incidents:
- Goals, including "missed" offenses in construction
- Awarded and not assigned fines, including "missed" offenses in construction
- Direct red cards
- Cases of wrong identity where the wrong player is shown a red or yellow card
The referee can accept information that has been picked up by the VAR team through the handset, an option that is usually reserved for objective calls to the facts, such as if the player is offside.
Or, for more subjective decisions such as red cards and misdemeanor penalties, he can inspect footage on a television monitor on the side of the terrain before deciding whether to change his initial call.
The VAR team also proactively contact the judge if he finds "a clear and obvious mistake" over these four types of incident or "serious missed incident" – usually violence outside the balloon.
The judge can then decide whether to have or not to review – there is an officially consulted repetition and the judge who shows the TV signal shows.