"By the end of October we will not have sufficient progress," Juncker said as he arrived for an EU summit in Tallinn. "I'm saying there will be no sufficient progress from now until October unless miracles will happen."
EU leaders are set to decide at a summit on October 19-20 whether there has been "sufficient progress" on the divorce to start discussing the future relationship including a trade deal, as Britain has demanded.
"In my Florence speech I set out very clearly how we could ensure that the rights of those EU citizens were guaranteed in the UK," May told reporters.
"That has been part of the negotiations that we've had, very good progress has been made, that was made clear by the statements made by David Davis and Michel Barnier made yesterday," she said.
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EU negotiator Barnier and his British counterpart Davis wrapped up a fourth round of Brexit negotiations in Brussels on Thursday saying there had been progress following May's speech, but with Barnier saying it could take "months" to move to trade discussions.
Irish Prime Minister Leo Varadkar said there was a "better vibe and a better mood" coming from the talks, but cautioned they were "not at the point where we can get onto the future relationship".
"It's still very evident there's more work to be done," Varadkar said.
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