Valcke had claimed that the country needed "a kick up the backside" amidst reports that construction work on the grounds selected for the tournament were running well behind schedule and that planned infrastructural updates might not be completed in time for the big kick-off.
The Frenchman's comments sparked outrage in Brazil, with government adviser Marco Aurelio Garcia labelling Valcke "a bum".
However, Fifa subsequently expressed its regret and remorse over Valcke's outburst and the Brazilian government confirmed on Thursday that minister of sport Aldo Rebelo had accepted the apology in a letter sent to the president of the game's governing body, Sepp Blatter.
"I reiterate the position of the Brazilian government is that episodes such as this one cannot happen again, to aid the preparation for the World Cup," Rebelo wrote.
It has also been confirmed that Blatter will soon meet with the country's president, Dilma Rousseff, but the date of the sit-down has not yet been disclosed.
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