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At a summit in Brussels, the political leaders will express concerns that they are both anxious to be freed up to despatch lethal weaponry if necessary to rebalance the odds in the continuing war.
It is two years today since the start of the Syria conflict, where more than one million refugees have fled, with more than two million children in immediate need of humanitarian assistance, Unicef said.
Syria was not even on the agenda at this summit, so it is a measure on how fast this situation is moving.
Within moments of arriving there, President Hollande and David Cameron were locked in talks about how best they could move the EU leaders they were joining with to reconsider the position on EU sanctions, sanctions that were only reviewed three weeks ago.
Shortly after that meeting, we were told there was going to be an additional piece of business added to the agenda tomorrow, and that was going to be whether or not there was a way to move forward, so that the EU could support the rebel fighters in Syria.
There's a feeling here, whilst there is a belief that the Assad regime are getting weaponry, there's no way to support the civilians who are being attacked by that weaponry. That's why they feel it is so important they review the position.
There is of course major concern on how to keep arms in safe hands and not falling into Islamist fighters' hands. Germany are extremely reticent about moving into a position where they start to supply arms.
The European Union's arms embargo is "backfiring", a Downing Street official said today, after French President Francois Hollande and David Cameron held one-to-one talks on arming Syrian rebels. The official said:
France will raise the issue of lifting a European Union embargo on supplying weapons to Syrian rebels at the EU summit, President Francois Hollande has confirmed.
Arriving for the summit in Brussels, he told reporters:
Hollande said France did not want Syria to go towards "total war" and believed a political transition must be the solution for Syria, but he said: "We must accept our responsibilities."
David Cameron's spokeswoman has confirmed the Prime Minister met Mr Hollande in private at the start of the summit to discuss Syria.
I've just learnt from an EU contact that at the request of French President Francois Hollande, he and David Cameron have just had one-to-one talks on arming Syria rebels, ahead of the start of the Euro Council.
The talks took place within 10 minutes of both arriving at the Brussels summit.
Latest ITV News reports
David Cameron and Francois Hollande have failed to convince other EU leaders to overturn Europe’s ban on arming Syrian rebels.
The UK and France have forced an EU discussion on Syria to try and change the arms embargo.