It is understood that Tottenham defender Steven Caulker, Leeds centre-half Tom Lees and coach Steve Wigley face charges following events which unfolded at the end of a stormy European Championship play-off tie on 16th October.
Serbia's public prosecutor is determining whether to pursue the matter, but the FA has yet to hear anything on the record from officials in the eastern European country.
"The FA continues to remain in close contact with the UK Government regarding the continued media reports of Serbian police charging England U21 players and staff," said an FA statement.
"There remains no formal communication of any charges to the FA or the Government.
"However, we understand there has been a verbal communication of the names of the individuals concerned, which we now believe to be England players Steven Caulker and Tom Lees, and coach Steve Wigley.
"The FA would like to reaffirm its support for all of our players and staff and we have spoken with the players' clubs and those named to express this.
"The FA has been taking legal advice in both the UK and Serbia to provide appropriate protection should any charges be brought.
"We welcome the support we are receiving from the UK Government."