Cóceres became the first Argentine to win on the PGA Tour since Major Champion Roberto De Vicenzo. In April 2001 he beat Billy Mayfair at the fifth hole of a play-off to win the Worldcom Classic at Hilton Head and followed that with a second PGA TOUR victory, winning the National Car Rental Classic.
 
A winner in both Europe and the United States, Cóceres has continued that winning mentality with two victories on the Legends Tour. He earned his first Legends Tour title by winning the Swiss Seniors Open at Golf Club Bad Ragaz in July 2019.

 
Won $50,000 for a hole-in-one at the 1992 Dubai Desert Classic – and went on to win the tournament at Dubai Creek eight years later in March 2000.