It’s been called a tightrope walk, an attempt to thread a needle in the dark and like sailing between Scylla and Charybdis – anything but easy – for Britain’s David Cameron to redefine his country’s relationship with Europe.

When he stands up to speak at 10am tomorrow, the Prime Minister will confront a highly expectant audience, not just in the room before him in Amsterdam, but on TV across Europe and particularly on the other side of the Channel at home.

In Brussels, diplomats confess to a mixture of apprehension and hopefulness; they don’t expect Cameron to turn his back on Europe, but how firmly will he make the case for British involvement in the EU? And how much criticism will he have to heap on Brussels to placate a deeply sceptical electorate?

Herman Van Rompuy, the president of the European Council, has said Cameron cannot “cherry-pick” the parts of EU policy he wants to sign up to, and Irish, French and other officials have warned Cameron that the EU is not an “a la carte menu”.

But it is far from clear precisely what the Prime Minister wants and how he sees Britain’s ties to the continent changing in the years ahead after 40 years in the European club.

“Cameron really will have to navigate his way through Scylla and Charybdis and may well find a brick wall on the other side,” said one EU diplomat concerned about how successfully he can walk the line in a speech that has been in the works for weeks.

Scylla and Charybdis were mythical sea monsters in Homer’s Odyssey. Odysseus managed to navigate between them, but perhaps pertinently for Cameron, not without losing members of his crew.

“Britain’s Europe policy has been confusing for a long time. He’s going to have to sort out a lot of misunderstandings before he can convince people of what he’s doing,” said the official, underlining that uncertainty would not go away overnight.

“The risk remains of an exit by mistake. It shouldn’t happen, but other things that shouldn’t have happened did.”

Leaders and senior officials, including the US Assistant Secretary of State, have spoken up in recent weeks to warn of the dangers of Britain drifting out of the EU, and Finland’s Prime Minister added his voice to the chorus yesterday.

“The EU without Britain is pretty much the same as fish without chips,” he told reporters in Brussels. “It’s not a meal anymore.”

When asked how he wants to change Britain’s ties to the EU, Cameron has spoken about a “new settlement” with the 27-country bloc, with powers repatriated from Brussels to London and Britain having less restrictive links to the EU machinery.

He has said his aim is to renegotiate elements of Britain’s relationship, particularly on justice, labour and policing issues, next time EU member states reopen the EU treaty for amendments, a process only likely in 2015 at the earliest.

After that, Cameron has said, the outcome will be put to the British public in a referendum, with voters deciding whether they accept the terms of the new EU relationship.

But there are a few problems with the scenario Cameron envisages, not least that the majority of his partners in Europe have no appetite at this stage for treaty change, a cumbersome and painstaking process that can take years to complete.

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