Hi there,
As far as i know, unless they get the plane certified by easa, nobody can operate them in europe. Easa certification has been delayed to early 2008, provably because of this problem(published by easa this summer):
'The Eclipse 500 has an unusual design feature with respect to engine control. The engines FADEC’s are electrically powered by the aircraft electrical system instead of a dedicated and independent electrical source on each engine. This means that in case of total electrical failure the engines will maintain the power setting that was present at the moment of the failure. This failure also leads to the loss of shut-off capability'
Lots of european orders for the aircraft though (mostly air taxi operators), so hopefuly, they will fix this issue soon.