He beat Spain's Carlos Rodriguez in the last 32 stages and then defeated Stephen Bunting in the last 16, eventually losing to fellow Dutchman Edwin Max.
Greebe then began playing in PDC tournaments, reaching the third round of the 2007 US Open, losing 3–1 in sets to Phil Taylor.
Greebe qualified for the 2008 PDC World Darts Championship, losing in the first round 3–2 in sets to Peter Manley.
Greebe qualified for the 2010 PDC World Darts Championship through the European Order of Merit but lost in the first round to John Part.
Greebe reached the final of the 2017 German Open, losing to world number one Mark McGeeney.