Arturo Alvarez gave FCD the lead in the 56th minute, but Chivas tied the score 11 minutes earlier on a goal by Antonio Olvera.
Chivas, which just returned from the Peace Cup in South Korea, was missing its five national team stars who recently finished up play at the Copa America.
Coach Jose Manuel de la Torre expects them to be available for Chivas' second SuperLiga match against the Galaxy.
Among the reserves who saw action for Guadalajara was California Jesus Padilla. The game also marked the debut of Brazilian teenager Ricardinho for FC Dallas.
July 24 in Frisco, Texas
FC Dallas 1 CD Guadalajara 1. Goals: Alvarez 56; Olvera 67.
FC Dallas -- Burse, Moor, Goodson, Serioux, Gbandi, Toja, Ricchetti, Saragosa, Alvarez (Oduro, 92+), Ricardinho (Rhine, 82), Ruiz.
Guadalajara -- Michel, de Luna, Ocampo, Reynoso, Avila (Olvera, 66), Mejia, Arellano, Baez, Nava (Cardenas, 85), Salazar (Padilla, 57), Santana.
Yellow Cards: FC Dallas -- Ricchetti 30, Ruiz 55; Guadalajara -- Mejia 35, Arellano 80.
Red Card: FC Dallas -- Moor 72.
Referee: Walter Quesada.