Tusk added that Britain's proposals on future relations would be taken into account by the EU's internal work on a trade deal, in a further olive branch to British Prime Minister Theresa May.
"My impression is that reports of the deadlock between the European Union and the UK have been exaggerated, and while progress has not been sufficient, it does not mean there is no progress at all," Tusk told a news conference in Brussels.
"Our working assumption is not the no deal scenario, I hate the no deal scenario," said Juncker, standing alongside Tusk. "I want to have a fair deal with Britain."
Tusk said a face-to-face meeting with Theresa May and a meeting with the remaining 27 EU states had contributed to a more "positive narrative", despite the bloc saying there was not sufficient progress to start full trade talks until at least December.
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"My feeling today and in my tete-a-tete with Theresa May, I feel for sure that both sides present only goodwill," he said.
"I would like to reassure our British friends that in our internal work we will take account of proposals present there (in Florence)," he added.
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