Regarding the conflict in the Middle East, I believe that Israel and the EU share the same values as well as a common understanding: that two nation-states, living side by side in peace and security, is the just and right solution to the conflict.
I don't think this statement is all that true.
One problem, if that is so, is that the EU truly seeks to undermine Israel's sovereignty and security. (It funds Halper's group: Israeli Committee Against House Demolitions which manipulates shameful propaganda practices, among many others and some others.
And secondly, maybe Livni is convinced herself that the statemnt is true and we have of Foreign Minister who is on the outside looking in?