The 56-year-old signed the then 19-year-old for Eredivisie outfit Groningen in 2006 before his subsequent moves to Ajax and Liverpool. Veldmate, now Groningen's sporting director, says Suarez has always adopted the mentality of a child on the pitch and attributes it to his South American upbringing.
"He's a grown up person but also, in the way he likes playing football, he sometimes has the mentality of a child," he told BBC Radio 5 Live."That's the way he enjoys playing. If you compare the mentality and attitude to Dutch players, then in South America it's dead or alive.
"To do the best for your family - it's a way of life and a way of surviving."
Despite those issues, Veldmate says it took him only 15 minutes to decide that he had to sign Suarez from Uruguayan side Nacional.
"He had everything you see today - he scored a goal and did some fantastic dribbles," Veldmate explained. "Sometimes you think he is lucky with his dribbles - he starts something and you think it is impossible but in the end it works and he creates a chance and scores a goal.
"He dived to win a penalty, so all the things we see in Luis' potential we saw in that 15 minutes and most importantly we saw he was a winner."