Copa Libertadores   M. W D L goals
  at home 2 1 0 1 5 : 2
  Away 2 2 0 0 3 : 1
  4 3 0 1 8 : 3
Copa Mercosur   M. W D L goals
  at home 2 1 0 1 3 : 3
  Away 2 1 0 1 5 : 5
  4 2 0 2 8 : 8
overall   M. W D L goals
  at home 4 2 0 2 8 : 5
  Away 4 3 0 1 8 : 6
  Neutral Place 0 0 0 0 0 : 0
  8 5 0 3 16 : 11
Copa Libertadores
2018 Semi-finals Grêmio Porto Alegre - River Plate 1:2 (1:0)
2018 Semi-finals River Plate - Grêmio Porto Alegre 0:1 (0:0)
2002 Round of 16 Grêmio Porto Alegre - River Plate 4:0 (2:0)
2002 Round of 16 River Plate - Grêmio Porto Alegre 1:2 (0:0)
Copa Mercosur
2001 Group E Grêmio Porto Alegre - River Plate 1:0 (0:0)
2001 Group E River Plate - Grêmio Porto Alegre 2:4 (1:1)
1998 Group E River Plate - Grêmio Porto Alegre 3:1
1998 Group E Grêmio Porto Alegre - River Plate 2:3

For games that were decided on penalties the score after 120 minutes will be included in the ranking