The Football Association have confirmed they will look into the matter.A spokesman said: "We will be contacting both clubs for their observations on these events and we will take it from there."
However, Boro revealed they will be taking no further action over the chants, which they hope will not be repeated by supporters of other clubs.
Spokesman Dave Allan said: "We very much hope that there is no repeat of these chants in the future, but as far as we are concerned, the matter is now closed."
Newcastle are waiting to see what materialises before commenting.