| Eigenchampion | EigPts | Most points1 | Pts | T | M | G | |
| 1910-2021 | Argentina | 23.316 | = | 470 | 19 | 893 | |
| 1910-2019 | Argentina | 23.045 | = | 453 | 19 | 865 | |
| 1910-2016 | Argentina | 22.932 | = | 443 | 18 | 839 | |
| 1910-2015 | Argentina | 20.786 | = | 427 | 16 | 807 | |
| 1910-2011 | Argentina | 19.871 | = | 415 | 15 | 781 | |
| 1910-2007 | Argentina | 17.318 | = | 409 | 15 | 755 | |
| 1910-2004 | Brazil | 17.248 | Argentina | 394 | 15 | 729 | |
| 1910-2001 | Brazil | 17.512 | Argentina | 381 | 15 | 703 | |
| 1910-1999 | Brazil | 23.952 | Argentina | 381 | 14 | 677 | |
| 1910-1997 | Brazil | 23.76 | Argentina | 375 | 13 | 651 | |
| 1910-1995 | Argentina | 20.217 | = | 370 | 12 | 625 | |
| 1910-1993 | Argentina | 29.21 | = | 363 | 12 | 599 | |
| 1910-1991 | Argentina | 30.204 | = | 353 | 10 | 573 | |
| 1910-1989 | Argentina | 29.379 | = | 334 | 10 | 547 | |
| 1910-1987 | Argentina | 30.74 | = | 325 | 10 | 521 | |
| 1910-1983 | Argentina | 34.244 | = | 321 | 10 | 508 | |
| 1910-1979 | Argentina | 34.945 | = | 315 | 10 | 484 | |
| 1910-1975 | Argentina | 36.996 | = | 311 | 10 | 459 | |
| 1910-1967 | Argentina | 39.685 | = | 305 | 10 | 434 | |
| 1910-1966 | Argentina | 38.921 | = | 281 | 9 | 404 | |
| 1910-1963 | Argentina | 38.918 | = | 281 | 9 | 400 | |
| 1910-1959 | Argentina | 43.066 | = | 271 | 9 | 379 | |
| 1910-1957 | Argentina | 44.159 | = | 225 | 9 | 317 | |
| 1910-1956 | Argentina | 45.064 | = | 210 | 9 | 296 | |
| 1910-1955 | Argentina | 48.022 | = | 201 | 9 | 281 | |
| 1910-1953 | Argentina | 47.953 | = | 188 | 9 | 266 | |
| 1910-1949 | Argentina | 47.619 | = | 188 | 9 | 244 | |
| 1910-1947 | Argentina | 46.685 | = | 188 | 9 | 215 | |
| 1910-1946 | Argentina | 46.341 | = | 169 | 9 | 187 | |
| 1910-1945 | Argentina | 43.617 | = | 154 | 9 | 172 | |
| 1910-1942 | Argentina | 41.869 | = | 138 | 8 | 151 | |
| 1910-1941 | Argentina | 44.721 | = | 125 | 8 | 130 | |
| 1910-1939 | Argentina | 39.16 | = | 113 | 8 | 120 | |
| 1910-1937 | Argentina | 41.536 | = | 113 | 7 | 110 | |
| 1910-1936 | Argentina | 39.823 | = | 101 | 7 | 96 | |
| 1910-1935 | Argentina | 40.822 | = | 98 | 7 | 94 | |
| 1910-1929 | Argentina | 42.688 | = | 92 | 7 | 88 | |
| 1910-1927 | Argentina | 40.096 | = | 83 | 7 | 82 | |
| 1910-1926 | Uruguay | 40.328 | Argentina | 74 | 6 | 76 | |
| 1910-1925 | Argentina | 38.074 | = | 67 | 5 | 66 | |
| 1910-1924 | Argentina | 36.54 | Uruguay | 62 | 5 | 60 | |
| 1910-1923 | Argentina | 39.639 | Uruguay | 55 | 5 | 54 | |
| 1910-1922 | Argentina | 40.725 | = | 46 | 5 | 48 | |
| 1910-1921 | Argentina | 50.092 | = | 40 | 5 | 37 | |
| 1910-1920 | Uruguay | 42.541 | = | 36 | 4 | 31 | |
| 1910-1919 | Uruguay | 39.63 | = | 29 | 4 | 25 | |
| 1910-1917 | Argentina | 53.907 | = | 23 | 4 | 18 | |
| 1910-1916 | Argentina | 54.959 | = | 17 | 4 | 12 |
1Listed where different from eigenchampion. T = Teams, M = Matches.