Buur qualified for the 2003 BDO World Darts Championship, losing in the first round to defending champion Tony David. In the 2004 World Masters, Buur defeated Andre Brantjes and Gary Anderson to reach the last 16 where he lost to David again. He then captured the 2005 British Open title, beating Michael van Gerwen in the final. Buur returned to the Lakeside in the 2006 BDO World Darts Championship where he was defeated 0–3 in the first round by another defending champion, Raymond van Barneveld. A year later, in the 2007 BDO World Darts Championship, Buur lost to former world champion John Walton in the first round.