Getty Marcel Reed of the Texas A&M Aggies. When the Texas A&M Aggies host the Notre Dame Fighting Irish on Saturday, the game will mark only the seventh time the two traditional college football powerhouses have faced off, and only the fourth time in the regular season. The schools have been playing college football since turn of the 20th century, Notre Dame since 1899 , Texas A&M since 1903 . The Irish have won 13 recognized national championships, the Aggies have won two (though none since