| Eigenchampion | EigPts | Most points1 | Pts2 | T | M | ||
| 1910-2024 | Argentina | 24.969 | = | 445 | 22 | 878 | |
| 1910-2021 | Argentina | 22.965 | = | 429 | 21 | 846 | |
| 1910-2019 | Argentina | 22.658 | = | 412 | 21 | 818 | |
| 1910-2016 | Argentina | 22.543 | = | 402 | 20 | 792 | |
| 1910-2015 | Argentina | 20.411 | = | 386 | 16 | 758 | |
| 1910-2011 | Argentina | 19.503 | = | 374 | 15 | 732 | |
| 1910-2007 | Argentina | 16.98 | = | 368 | 15 | 706 | |
| 1910-2004 | Brazil | 17.056 | Argentina | 353 | 15 | 680 | |
| 1910-2001 | Brazil | 17.346 | Argentina | 340 | 15 | 654 | |
| 1910-1999 | Brazil | 23.596 | Argentina | 340 | 14 | 628 | |
| 1910-1997 | Brazil | 23.383 | Argentina | 334 | 13 | 602 | |
| 1910-1995 | Argentina | 19.886 | = | 329 | 12 | 576 | |
| 1910-1993 | Argentina | 26.33 | = | 224 | 12 | 550 | |
| 1910-1991 | Argentina | 27.695 | = | 216 | 10 | 524 | |
| 1910-1989 | Argentina | 26.927 | = | 203 | 10 | 498 | |
| 1910-1987 | Argentina | 28.401 | = | 196 | 10 | 472 | |
| 1910-1983 | Argentina | 31.638 | = | 193 | 10 | 459 | |
| 1910-1979 | Argentina | 32.673 | = | 188 | 10 | 435 | |
| 1910-1975 | Argentina | 34.695 | = | 185 | 10 | 410 | |
| 1910-1967 | Argentina | 37.173 | = | 181 | 10 | 385 | |
| 1910-1963 | Argentina | 36.055 | = | 173 | 9 | 366 | |
| 1910-1959 | Argentina | 40.37 | = | 166 | 9 | 345 | |
| 1910-1957 | Argentina | 41.305 | = | 150 | 9 | 314 | |
| 1910-1956 | Argentina | 41.895 | = | 140 | 9 | 293 | |
| 1910-1955 | Argentina | 44.287 | = | 134 | 9 | 278 | |
| 1910-1953 | Argentina | 44.555 | = | 125 | 9 | 263 | |
| 1910-1949 | Argentina | 44.228 | = | 125 | 9 | 241 | |
| 1910-1947 | Argentina | 43.194 | = | 125 | 9 | 212 | |
| 1910-1946 | Argentina | 42.969 | = | 112 | 9 | 184 | |
| 1910-1945 | Argentina | 40.25 | = | 102 | 9 | 169 | |
| 1910-1942 | Argentina | 38.648 | = | 91 | 8 | 148 | |
| 1910-1941 | Argentina | 41.471 | = | 82 | 8 | 127 | |
| 1910-1939 | Argentina | 35.989 | = | 74 | 8 | 117 | |
| 1910-1937 | Argentina | 38.277 | = | 74 | 7 | 107 | |
| 1910-1935 | Argentina | 37.362 | = | 64 | 7 | 91 | |
| 1910-1929 | Argentina | 38.85 | = | 60 | 7 | 85 | |
| 1910-1927 | Uruguay | 41.241 | Argentina | 54 | 7 | 79 | |
| 1910-1926 | Uruguay | 42.077 | = | 49 | 6 | 73 | |
| 1910-1925 | Uruguay | 35.792 | Argentina | 43 | 5 | 63 | |
| 1910-1924 | Uruguay | 35.564 | = | 41 | 5 | 57 | |
| 1910-1923 | Argentina | 35.994 | Uruguay | 36 | 5 | 51 | |
| 1910-1922 | Argentina | 37.446 | Uruguay | 30 | 5 | 45 | |
| 1910-1921 | Argentina | 44.899 | Uruguay | 25 | 5 | 34 | |
| 1910-1920 | Uruguay | 48.229 | = | 23 | 4 | 28 | |
| 1910-1919 | Uruguay | 45.855 | = | 18 | 4 | 22 | |
| 1910-1917 | Uruguay | 52.913 | = | 13 | 4 | 15 | |
| 1910-1916 | Argentina | 48.305 | = | 8 | 4 | 9 |
| Copa América |
1Listed where different from eigenchampion. 2Points totals with two points for a win in italics. T = Teams, M = Matches.