• Theresa May is expected to put an offer on the table to try to get Brexit negotiations - due to resume on Monday - moving
• The BBC understands the prime minister will propose a two-year transitional deal, after March 2019, ahead of a permanent trade deal
• It could include payments worth 20bn euros (about £18bn) over the two years - but she won't name any figures in the speech
• The 20bn euro offer is meant to ensure no EU countries are left out of pocket by Britain's departure
• But it is not part of the "divorce bill" covering the UK's outstanding debts and liabilities to the EU, which will still have to be agreed with EU negotiators, meaning the final bill for Brexit could be far higher
• The PM is also expected to say something about the rights of EU citizens living in the UK - something that has proved a major sticking point in the talks.

Laura Kuenssberg
BBC political editor

The World at One
BBC Radio 4

David Herszenhorn from online news service Politico tells the World at One that the EU is looking for "concrete proposals" from the UK on citizens' right's, the jurisdiction of the European Court of Justice and the financial settlement.

He adds that EU chief negotiator Michel Barnier has said that the final six months of the two-year Brexit process will be needed for ratification of any agreement by Westminster and the European Parliament.

"Six months will be taken up at the end, six months have already passed, which leaves just a year left to solve these very tough problems," Mr Herszenhorn says.

The World at One
BBC Radio 4

BBC Radio 4's the World at One asks David Herszenhorn, chief Brussels correspondent for online news service Politico, whether EU negotiators are "agog" at the prospect of Theresa May's speech.

"Quite the contrary," Mr Herszenhorn replies.

"The view in Brussels is that the time for speechifyng on Brexit was over six months ago" when the UK triggered Article 50 to leave the EU, he adds.

He says EU figures want to hear what the UK government will bring to the next round of Brexit talks, as they feel there has been a "lack of progress on the divorce issues".

BBC News Channel

BBC assistant political editor Norman Smith says Theresa May faces her own "D-Day" when she attempts to break the deadlock in Brexit negotiations with a speech in Florence.

Norman says the PM will intimate that the UK is prepared to pay up to £18bn in a two year transitional deal, give further reassurance about the rights of EU nationals and call for a "bespoke" British deal.

But Norman warns that it is "too late for warm words".

Laura Kuenssberg
BBC political editor

Image source, Reuters

Speaking in Florence, Theresa May will for the first time explicitly outline her plans for a transition period after departure that could see the UK pay at least 20bn euros to the EU.

But what else could we expect?

Likely is her first admission that the UK will ask the EU for as long as two years to make our complete exit.

Two years during which we might pay billions to keep our existing ties with the single market. Two years, after 2019, that could give business breathing space.

But this could frustrate some voters who chose to leave, who may see departure now only in the distance.

Don't expect chapter and verse on the future relationship. There is not yet a clear agreement in cabinet on its shape and style, even if the prime minister herself had a fully fleshed-out vision.

But there is hope in government circles that the offer could unblock the Brexit negotiations.

Read more

The Daily Politics

Labour's shadow Brexit minister Jenny Chapman says if reports are true that Theresa May is considering a two-year transitional deal post Brexit "then that's obviously very pleasing".

She told BBC2's Daily Politics:

Image source, AFP/Getty

Theresa May's attempt to break the deadlock in Brexit negotiations will fail unless she guarantees the rights of millions of European Union (EU) citizens living in Britain, demonstrators have warned.

A group of about 30 gathered in the piazza in front of the Santa Maria Novella basilica in Florence where the prime minister is due to deliver a key speech on Brexit designed to push faltering talks forward.

Former Labour MP Roger Casale, who organised the demo for the New Europeans campaign group, called on Mrs May and the EU to unilaterally make guarantees for 3.4m Europeans in the UK and the one million or so British expats on the continent.

Among the protesters were Italians and Florentines who live in the UK and Britons who live in Italy.

Image source, PA

Theresa May's trip to Florence for her crunch speech on Brexit will be funded by British taxpayers, Downing Street has confirmed.

Her spokesman has said Florence was chosen for its "historical trading power" and cultural and economic ties with the UK, although the defaulting on war loans by English King Edward III is said to have led to the downfall of two powerhouse Florentine banks in the 14th century.

British taxpayers will pick up the bill for the trip as it is "government business", including travel for the British delegation which includes Foreign Secretary Boris Johnson, Chancellor Philip Hammond and Brexit Secretary David Davis, and the venue in the grand Santa Maria Novella church.

The Gothic basilica will be seen by Mrs May as a fitting venue to attempt to heal divides which appear to have deepened since the beginning of tough negotiations in summer.

The Daily Politics

Former UKIP leader Nigel Farage says the idea of a two-year transitional deal post Brexit puts "two fingers" up to "the great unwashed".

He told BBC2's Daily Politics:

Mr Farage said the idea shows "a lack of vision, lack of courage and a lack of self believe" about Britain's place in the world.