10.30am: David Davis, the Brexit secretary, and Michel Barnier, the EU’s chief Brexit negotiator, have appeared together as Brexit talks get underway in Brussels.
Mr Davis said that negotiations will begin “in a positive and constructive tone, determined to build a strong and special partnership between ourselves and our European allies and friends”.
He added: “I’m in Brussels today, like Michel, to begin the next phase of our work to build a new, deep and special relationship with the European Union.
“Our thoughts this morning are rightly with the victims and families of the awful attack in London early this morning and of course also with those who have lost loved ones in Portugal.
“It’s at testing times like these that we are reminded of the values and the resolve that we share with our closest allies in Europe. There is more that unites us than divides us.
“So while there will undoubtedly be challenging times ahead of us in the negotiations, we will do all that we can to ensure that we deliver a deal that works in the best interest of all citizens.”
Mr Barnier also offered his condolences to the victims of the London attack and the Portugal forest fires.
Turning to the matter at hand, he continued: “Our objective is clear, we must first tackle uncertainties caused by Brexit. First for citizens, also for beneficiaries of EU policies and the impact on borders in particular Ireland.
“I hope that today we can identify priorities and the timetable that will allow me to report to the European Council later this week that we have a constructive start to negotiations.”
Mr Davis and Mr Barnier will spend today working on a timetable for negotiations.
Their first session began at 10am BST. After an hour-and-a-half session they will take an early “working lunch”, with aides from both sides sitting down in the afternoon to work on a detailed plan.
A closing session between the two principal negotiators will start at 5.30pm BST, with another press conference to follow.