CM is correct, you can go straight into the CPL without bothering with the PPL, you were just revenue generating for those concerned!!!
One way I got caught out was that I did my CPL ME first before my SE, on passing they took my 'PPL based on....' licence away from me thereby not enabling me to fly SE in the US until I had passed my CPL SE. Something to do with not being able to hold both, was quite a strange feeling to loose a licence all of a sudden!!
The good news I got all my tickets and even added the 'High Perfofmance', 'Complex' and 'High Alititude' endorsements so now only the ATPL left!
Julian.