She talked down a second independence referendum, but said formal taks for the UK to exit the EU would only start once a "UK approach" had been agreed.
Theresa May's official spokeswoman said the meeting with Scotland's First Minister Nicola Sturgeon in Edinburgh on Friday looked at Brexit issues, and what May regarded as the resolved issue of Scottish independence from the rest of the United Kingdom.
May, who only took up her office on Wednesday, spent about 45 minutes at Bute House, the First Minister's official residence, saying she had held an "excellent meeting" with the political leader of Scotland and head of the Scottish Government.
"Scotland is very important to me," May said during her first official trip as PM. "When I stood on the steps of Number 10 Downing Street on Wednesday I made clear that I believe in the United Kingdom and I have just had an excellent meeting with the First Minister, a very constructive and positive meeting," May said after the talks. "We've discussed the upcoming EU negotiations and I am very clear that I want the Scottish Government to be fully involved and I want to get the best possible deal for the whole of the United Kingdom."
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