Bobson was part of the famous Ajax Amsterdam youth academy. Bobson's chances were limited at Ajax, and he moved to NAC Breda in July 2001. He scored 10 goals in 70 games for NAC, and that prompted interest from RCD Espanyol of the Spanish La Liga to race for his signature. He only managed one goal for Espanyol (Goal number 3000 for Espanyol in Spanish La Liga) before moving back to the Netherlands to join Willem II in Tilburg in August 2004. He spent the 2007-08 season on loan with N.E.C. in Nijmegen. On 30 August 2008 he moved to FC Red Bull Salzburg, but could not break into the starting team and his contract was terminated in January 2009. Since then, he has been free agent.