Antonio Tajani, President of the European Parliament, revealed he would ask for an assessment of “sufficient progress” to be stalled from October to the end of the year.
The move would mean Brexit talks are delayed for three months – from the original target of October.
Mr Tajani said the issues of citizens’ rights, Britain’s divorce bill and the Irish border had to be reached before talks could turn to trade.
In a scathing attack on Theresa May’s Brexit team, he said Britain had only put forward “foggy” proposals so far.
Jean-Claude Juncker’s EU party crony said: “Without an agreement on this, we cannot talk about the future.

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“So far we have noted that no concrete proposals have arrived, only very foggy proposals.”
He told politics news site Politico: “ I will ask the council to extend the deadline but it’s not our fault, but due to delays.
“And the Brits are the ones who will be mostly affected by it. It is not a tragedy, but we cannot postpone further than December.”
The ex-European commissioner’s comments are an attempt to pressure Britain into agreeing what parts of the Brexit bill it is willing to pay.
Today the bloc’s Brexit negotiator Michel Barnier accused the UK of “backtracking ” on a promised to settle the hefty financial settlement.
During his furious rant, Mr Barnier claimed he had lost “confidence and trust” in Britain and David Davis.
The news comes after European Council president Herman van Rompuy said the UK had “zero” chance of reaching the European Union’s “sufficient progress” target by October.
He told BBC Radio 4’s Today programme: “I’m not a negotiator, (but from) what I hear and what I read in the press, the chances that we are ready in October are in the neighbourhood of zero.”