The Prime Minister has invited the First Minister to a one-to-one summit on Brexit.

Theresa May said last week she wanted both sides to begin discussions following months of no progress and a cooling of relations between the pair.

According to one media report, a letter was sent by the Prime Minister on Sunday but a spokesman for Nicola Sturgeon said she had not received any written confirmation.

He said an "informal approach" from Downing Street had already been made.

The spokesman added: "The First Minister would be more than happy to meet [the Prime Minister]."

The Scottish Government wants Scotland to remain formally inside the European single market even if the rest of UK leaves but this has been rejected by the UK Government.

Speaking to STV News on Tuesday, the Prime Minister said she hoped in the upcoming meeting that Sturgeon would agree the UK Government's vision for Brexit is the "right way forward".

May said: "We are getting into the nitty gritty details now and I hope when Nicola Sturgeon and I meet we will be able to look ahead to what should be a good partnership with the European Union for the UK in the future and the positive impact that will have on Scotland."

She added: "I hope that what Nicola will be doing is looking at the vision that we have set out for that partnership, recognising the benefit that it has for Scotland and agreeing that it's the right way forward.

"But we want to talk together about the key issues for Scotland and how we can ensure we are taking these forward in the negotiations we have."

Complaints have also been made about the lack of communication between both governments over a range of issues.

The Scottish and UK Governments had their first meeting in months on Brexit in September, with deputy first minister John Swinney and Scottish Brexit minister Michael Russell meeting first secretary of state Damian Green.

Despite "positive" discussions, Swinney said the two sides remained deadlocked over key Brexit legislation

May and Sturgeon last had a bilateral meeting in March.

In a recent interview with the New Statesman, Sturgeon complained about May's personality in such talks.

She said: "This is a woman who sits in meetings where it's just the two of you and reads from a script.

"I found it very frustrating because David Cameron, whose politics and mine are very far apart, always managed to have a personal rapport.

"You could sit with David and have a fairly frank discussion, agree the things you could agree on and accept you disagree on everything else, and have a bit of banter as well."