Bravo, 28, is out of contract at the end of the season and is seeking a move to Europe after spending his entire career with Chivas, for whom he has scored over one hundred goals since making his debut in 2001.
Racing Santander have previously shown an interest in the Mexican, but it now seems as if Deportivo are ready to jump to the head of the queue for his signature after club president Augusto César Lendoiro met with his agents during the week to initiate talks.
Lendoiro is keen to build on an excellent season half of the season and having already secured the permanent services of Angel Lafita and Filipe Luis - Christian Wilhelmsson to follow - he has his eyes set on a forward and central midfielder to fill out the squad.
Depor have been caught short in both positions during the season and Bravo would appear to be an ideal fit for the latter position, especially as he will be available on a free transfer.
If Bravo does agree terms with Depor then it would require the club to part with one of their current non-EU players in order to make space for him in the squad.
With Bravo's compatriot Andres Guarado and Canadian Julien de Guzman guaranteed two of the three slots, that would leave Uruguayan forward Sebastian Taborda as the player who would have to move on over the summer.
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