Embedded Game scores saving to Sql

[Doc]

Is there a way to pull a embedded games localstorage data after a games score is set and add it to my database?

I can see the score updating in the localstorage from the domain I`m getting the game from, should the localstorage update for my domain too?

I`m trying to get scores to save with vBulletin arcade.

Thanks!

 

[Doc]

$(window).on('message onmessage', function(extractscore) { 
   if (ev.originalEvent.origin === 'https://game-site.com') { 
       // your submit code and score variable: extractscore.originalEvent.score 
   } 
} 

Could something like this work?