Both sides have rejected the UN ceasefire resolution, it seems.
There has been some criticism in the media over the responses of the US, EU and the international community in general, but I think (though I'm not anywhere near an expert in this area), that there is very little that the international community can do in this instance and in the Israeli-Palastinian situation in general. Both sides need couragous people to take the necessary steps for peace.
There seems to be two options:
1. Gaza and the West Bank become part of Israel with the Palatinians as full citizens with full human rights, etc. (Which is not really an option).
2. The two state solution is implemented. This means that issues of borders and Jerusalem, etc. will need to be dealt with seriously and with a willingness to make talks work. Such a solution cannot be imposed from the outside but can only be brought about by the two sides engaging and compromising with each other.
All of this is hardly a great insight, but the international community can only encourage, not impose a solution.
With respect to the EU and the difficultly of taking a strong common position in the crisis, I'm not sure it really makes too much difference. The EU states agree that the two state solution is the one that's needed. There would be little the EU, or the international community, can actually do in the current crisis other than try and repair the damage later; sending peace monitors, etc. Does anyone seriously expect - or even advocate - that the EU or the UN should send in troops now to forcefully end the fighting?
What has happened - whatever the rights, wrongs, reasons or excuses behind the actions of either side - will have inflamed passions further and made renewed peace efforts improbable, if not impossible for the time being. All the international community can do is to reduce the suffering as much as it can, and encourage and call for new peace efforts. It cannot make such efforts for them.