The governing body has requested the Polish and Ukrainian authorities provide an increased police presence following an alleged incident in Krakow
The move comes in response to an alleged incident during Netherlands' practice in Krakow on June 6, after members of the team claimed to be subjected to racist chanting.
European football's governing body maintain that any person found to be engaging in racist behaviour must be immediately ejected from the stadium and its vicinity, and that criminal proceedings be launched against them.
Poland's sports minister, Joanna Mucha, also received a letter asking for full support from the Polish authorities regarding the issue of racism at this summer's tournament.
A number of violent and abusive incidents have already taken place at the tournament in Poland and Ukraine, although only one has been confirmed as racially aggravated.