Salazar and Triay won 7-6(4) and 7-6(9) at the SND Arena, needing five match points to seal their third consecutive title.
Josemaria and Sanchez had two set points to win the second tie-break, but could not force a third set out of the in-form Salazar and Triay.
That means the Spaniards have won all three South American tournaments, taking a firm lead in the rankings as World Padel Tour travels back to Europe.
Watch the highlights from the final below!
