The Daily Mirror says the Latics boss i ready to beat off a host of top European clubs in the race to sign the 17-year-old.
Galindo has already become the Bolivian Under-20 captain and has been training with the full national side.
Fiorentina and Russian side Spartak Moscow are also reported to be interested in the talented midfielder.
Wigan are ready to pay around £700,000 for Galindo and the youngster is due to travel for talks in the next week.
