Kyriakos,
You have to realize that you will not get straight into an FTE slot in any company. If you're an EE with an interest in flying, then as I said before, there are jobs in Flight Test where you'll put both to use - for example, there will be a LOT of flying to prove the operational use of WAAS + LPV both on new aircraft and on updates. In the majority of cases, both an FTE and an Avionics Engineer will be aboard to gather data. My advice for any young engineer is still get onboard with any of the big aircraft companies especially in FT and be prepared to work your way in.