Brazil beat Ivory Coast 3-1 to qualify from Group G on Sunday in Johannesburg but had Kaka sent off, dpa reported.
Dunga's team took the lead in Soccer City through Luis Fabiano in the 25th minute and he added a second five minutes into the second half before Elano made it three in the 62nd.
Ivory Coast pulled one back through Didier Drogba and Brazil played out the last two minutes of normal time with 10 men after Kaka received a harsh second yellow card for a push on Kader Keita.