 He began his professional career at PSV Eindhoven, then moved on to Willem II, Sparta Rotterdam, Ajax, Vitesse and RBC Roosendaal.While at Sparta, he started in various defensive positions and helped the club reach the final of the KNVB Cup in 1996.Veldman earned a single cap for the Netherlands national football team, which came on 24 April 1996 in a 1–0 loss to Germany.