The Spanish Football Association has sent a letter to its English counterparts apologising for the racist chanting during Wednesday’s match.
The Spanish FA also apologised for similar incidents during Tuesday’s Under-21 international.
“The FA welcomes the response and now looks forward to receiving details from Fifa on its investigation initiated on Thursday,” said an FA statement.
The apology, written by general secretary Jorge P Arias, was in reply to a letter sent by the English FA.
The FA is awaiting Fifa’s reply after sending lodging an official complaint about the abuse.
A Fifa statement on Thursday said: “We are concerned about the latest surge of racism and harshly condemn this. (Fifa) will demand explanations from the Spanish Football Association.”
Fifa president Sepp Blatter said there was, “no room whatsoever for racism or discrimination in our sport”.
He added: “The world is already too full of conflict that has its roots in racism and discrimination. Football has a positive influence.”
Early on Friday, Spanish foreign minister Miguel Angel Moratinos apologised “in the name of the Spanish government to anyone who may have felt offended by these expressions”.
“I have had the opportunity to comment and discuss it with my (British) counterpart Jack Straw and I again express that Spain is a country of tolerance where expressions of racism should have no place,” Moratinos said.
The FA’s head of media, Adrian Bevington, said: “Football as a whole should stand up and express its disgust at what has gone on here.”