Scotland’s beforehand minister has described her face-to-face talks with the prime minister as «interrogate and cordial».
But Nicola Sturgeon said she and Theresa May had «not yet» reached an agreement over with the UK government’s Brexit bill.
Mrs May indicated in September that she wanted to deal with to Ms Sturgeon in a bid to break the deadlock between the two governments over Brexit.
The two bandleaders met for about 45 minutes inside 10 Downing Street.
It came as MPs started to scrutinize the EU Withdrawal Bill, a key piece of Brexit legislation which is at the heart of a conflict between the Scottish and UK governments.
The Scottish and Welsh governments are refusing to put the tabulation forward for legislative consent in their respective parliament unless transforms are made.
They argue that the changes are needed to prevent a Westminster «power grasp», as the bill would return responsibilities in devolved areas such as agriculture from Brussels to London sort of than to Edinburgh or Cardiff immediately after the UK leaves the EU.
The UK government vows that the devolved administrations will be given a «significant increase in powers» after Brexit — but has not spell out exactly what these powers will be.
Speaking as she left the talks, Ms Sturgeon said she had «not yet» heard anything from Mrs May that go her think she could now recommend that Holyrood gives its consent.
But she said: «We displayed a better understanding of each other’s positions, and I made clear that the Scottish regulation wants to find agreement on the withdrawal bill.
«We oppose Brexit, but we infer from withdrawal legislation is necessary, so we want to find agreement.
«But I also confirmed clear what our bottom lines are on that bill, so discussions choose continue and hopefully we can reach some points of agreement in the weeks to thrive.»
Ms Sturgeon said the prime minister had also updated her on the wider EU bargains, with the first minister saying it had been «useful to hear her beholds on that».
And she said that Mrs May’s decision to put the date and time of Brexit onto the balls of the Withdrawal Bill was not «sensible».
The first minister added: «Overall it was a inferred and cordial meeting».
The talks were the first between Mrs May and Ms Sturgeon since Trek.
A spokesman for Number 10 said the prime delegate had emphasised to Ms Sturgeon that «as powers are repatriated from Brussels primitive to Britain there will be a significant increase in the decision-making powers for the Scottish control and other devolved administrations».
And he said Ms May had told the first minister that her primacy was «to provide certainty to businesses and people both in Scotland and across the motherland, as well as protecting our UK internal market».
The spokesman said: «The prime ambassador encouraged the Scottish government to continue to work with counterparts to steady the best outcome for the people of Scotland and the whole of the UK.»
The two leaders also reviewed the situation at engineering firm BiFab, which has said it intends to go into furnishing.
The Downing Street spokesman said the UK government stood «ready to accord whatever support we can».
In September, the first minister said in an interview with New Statesman that she had originate previous meetings with Mrs May «very frustrating».
Ms Sturgeon said she had initiate it «impossible to get any human connection» with the prime minister, adding: «This is a the missis who sits in meetings where it’s just the two of you and reads from a script.»
As successfully as Brexit and BiFab, the UK’s two most prominent female political leaders reviewed the issue of sexual harassment and inappropriate behaviour at Westminster and Holyrood, which has seen accommodates forced to resign from each of their governments.
UK Defence Secretary Michael Fallon and Scotland’s Antediluvian Years Minister, Mark McDonald, both left their ministerial poles following complaints about their conduct.
Both Ms Sturgeon and Mrs May accept called for better measures to crack down on misconduct and support fall guys.