British Prime Minister Rishi Sunak held a "friendly" but "robust" talk with Scottish Prime Minister Nicola Sturgeon on Thursday evening, discussing "common challenges".
Both spoke in separate interviews on Friday, but did not give a press conference.
Apparently, the approximately one-hour working lunch in Inverness went back to Sunak's initiative, which set him apart from his predecessors.
Boris Johnson had maintained little contact with Sturgeon and Liz Truss avoided meeting during her brief tenure.
Truss explained that Sturgeon was just looking for attention and should be ignored.
Jochen Buchsteiner
Political correspondent in London.
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Relations between Edinburgh and London are particularly strained by the Scottish government's efforts to hold another independence referendum.
A ruling by the British Constitutional Court recently prohibited Edinburgh from going it alone.
Nevertheless, Sturgeon is trying to increase political pressure on London to obtain approval.
Like his predecessors, Sunak takes the position that the 2014 referendum, which was in favor of the Union, has a longer binding effect.
At the same time, Sunak is trying to emphasize the advantages of the union.
According to media reports, there was talk of two "green free ports" in Scotland.
However, the two governments are also at odds on current issues.
Sturgeon has criticized London's proposed tightening of the right to strike, while the UK government opposes Scotland's plan to make it easier to change sex.
The Sunak government is currently having a constitutional review as to whether it should refuse to countersign the new Scottish law.
A decision is expected in the coming week.