SNAM you are perfectly right; Italy as a country is not fully JAR compliant and therefore has no recognition of its licences in other JAR compliant countries.
Having passed an audit is only one step towards the goal.
If fact in my company here those who hold a JAA ATPL have to pass their recurrent training with a JAR TRE because the italian TRE's cannot sign a JAR licence.
Being JAR compliant also in the medical part means italian pilots will be able to do their medicals at any JAR approved doctor...it could even be your family doctor...there you see the difficulty of pulling the power away from institutions like the so called IML and implementing the EU regs.