The organisation is in the "process of submitting evidence" after the 22-year-old's sending-off, which followed alleged racial abuse from fans throughout the match in Krusevac
Connor Wickham netted in the last minute of the U21 European Championships' qualifier in Krusevac, sealing Stuart Pearce's side's place in Israel 2013.
But the result was overshadowed by the events that followed the final whistle, with Rose receiving a second yellow card for kicking the ball into the crowd, while players and backroom staff were then involved in a mass scuffle on the pitch as tempers boiled over.
The 22-year-old claimed afterwards that he was targeted with missiles from the crowd throughout the evening, as well as reporting fans repeatedly aimed monkey chants and other racial abuse toward him, insisting his emotions then got the better of him.
In a statement the Serbian FA denied any wrongdoing from their supporters, while suggesting the midfielder was the main protagonist and acting in a "vulgar manner", but their English counterpart has revealed they intend to complain to Uefa.
The FA's head of communications, Scott Field, told Sky Sports News: "In terms of Danny's red card, we will be mitigating to Uefa within our submission to explain the severe provocation that he was under during the match and particularly at the end of the match.
"It is then down to Uefa to consider that along with our other submissions."
Field then stressed the necessity that Europe's governing body for football take the case seriously, indicating that these sorts of events are incredibly rare and have no place in the modern game.
He continued: "We should put this in perspective, certainly within my time working with the England Under-21 squad and senior team. They are scenes you would have to go back a long, long way to think of parallels.
"We rarely see instances like that in football and we should be thankful for that. It was serious, it was unusual and that is why Uefa must deal with this matter seriously."
Though he admitted the FA intends to take the matter to Uefa, Field stated that they are still in the planning stage as they gather all relevant information.
"We have to wait and see what the Uefa outcome is and we are only in the process of submitting our evidence and making that clear," he added.