I had the same answer from Cargolux about the Full JAR ATPL.
I have JAR CPL IR ME Frozen ATPL and FAA's ATPL with SIC B744 (2,600 hrs SIC) and PIC DC10 (3,100 hrs SIC) and I couldn't get an invitation for the interview.
I wrote to Interpersonnal asking the opportunity to get the interview and if I were positive I would invest money in getting a full JAR ATPL but the answer was also negative.