Soccer's governing body said Tuesday the meeting will take place in Brasilia, the Brazilian capital.
Blatter had asked for the meeting last week while apologizing for the remarks of FIFA Secretary General Jerome Valcke. Valcke had vulgarly complained of Brazil's slow preparations.
Brazil's Sports Minister Aldo Rebelo also will attend Friday's meeting. Rebelo had said Brazil was cutting ties with Valcke over his remarks. Brazil since has accepted apologies from both Blatter and Valcke.