The 25-year-old midfielder was signed by Portuguese giants Porto in 2013 but has spent the last three years away from the club on loan.
In January 2018, Quintero signed a one-year loan deal with River Plate in Argentina which reportedly did not include a recall clause.
The deal is, however, believed to include an option to make the arrangement permanent for a fee of €3.25m (£2.8m) for 80% of the player's rights, having paid an initial sum of €500,000 (£443,000).
However, the report also states that Spurs and Wolves have entered the race for the player and have both made contact over a transfer.
Quintero has played in all three of his country's World Cup games so far, scoring once and registering two assists.