I've said it before, but beware. In the US it is perfectly legal to log P1 hours if you're rated on the aeroplane and being trained by an instructor. In EASA this would be logged U/T.
I have had CPL applications rejected as the candidate did not posses enough P1 (according to EASA) for the issue of the rating as they 'disqualified' the P1 but training. Net result, more P1 hours required to meet the EASA 100 required mark.