Since promotion, Leeds boss Marcelo Bielsa has signed goalkeeper Illan Meslier, striker Joe Gelhardt and extended Jack Harrison's loan deal to keep him at Elland Road for the coming season.
They also made Helder Costa's loan deal permanent after the winger netted five goals and chipped in with four assists.
The Daily Star says Leeds are now in talks to sign River Plate's Quarta.
The Whites reckon they can land the Argentina international, 24, for less than his £18m release clause this summer.
It's claimed River Plate need to sell players to raise funds and Quarta could be sacrificed.