Sid UK,
What a/c type do you have on your JAA license? Expired or not? Is your JAA license a UK one?
If you have a JAA license, expired or not, a valid IR or type rating or not you can get a EASA (UK) ATPL.
All you need is a valid EASA class one medical and a valid EASA approved ELP, I ddont think the ICAO one is valid for some reason, if you work for EK there is a guy that is an approved EASA ELP examiner.
Let me know if you need more info, I did my license a couple of months ago and it was straight forward!