Rivaldo ya koma kungiyar kwallon kafa ta Brazil a gasar cin kofin duniya ta 1998, inda ya ci kwallaye uku a kan hanyar zuwa wasan karshe, ciki har da biyu a wasan kusa da na kusa da na kusa da Denmark. Brazil ta sha kashi 3 zuwa 0 ta hannun Faransa a wasan karshe, inda ta kasa kare kambun ta na 1994. Rivaldo bai kasance wani ɓangare na tawagar Brazil ba a gasar cin kofin Copa América 1997
, amma ya kasance wani ɓangare na nasarar kare wannan taken a 1999 Copa América. Rivaldo ya gama gasar a matsayin babban mai zira kwallaye, tare da kwallaye biyar; daya kasance mai daidaitawa daga bugun jini a nasarar 2<unk>1 akan Argentina a wasan kusa da na karshe, da biyu a nasarar 3<unk>0 akan Uruguay a wasan karshe. An kira shi dan wasa mafi daraja na gasar.