SNP leader Nicola Sturgeon has told British Prime Minister David Cameron she will be pushing for devolution powers for Scotland beyond those put forward by the Smith commission.
He is in Scotland for showdown talks with the Scottish First Minister, just a week after his stunning Tory election victory and the SNP's landslide north of the border.
And speaking following the meeting, Ms Sturgeon described it as "businesslike" but "positive".
"It's no secret that David Cameron and I are a world apart politically, but we've got jobs to do," she said.
"We've got to try to find ways of working together and we will do that. Two things were agreed. Firstly, a commitment from the Prime Minister that the legislation they will introduce to Westminster to implement the proposals of the Smith commission will implement those proposals in full."
"We will work with them to make sure that happens."
"Secondly, we will put forward proposals for devolution further than the Smith commission proposals. The Prime Minister has said they will consider those proposals."
Asked if the new powers she sought would include corporation tax or further welfare, she said: "There are priority powers we wanted to see devolved so we are talking about business taxes, employment legislation, the minimum wage and more powers over welfare."
"These are not powers that are randomly put forward by us. These are the key levers you need to grow the economy faster."
She also dismissed any suggestion the pair may have indulged in joint celebrations following their respective election successes.
'If Scotland wants to take a different path, it will be able to'
"We will disagree passionately on issues but we also have a duty to work together to deliver for the people we serve, so our relationship will be constructive, businesslike and focus on getting things done."
"But I will still campaign against Conservative governments because I don't think they are good for Scotland or indeed for that matter the rest of the UK."
Although the British Prime Minister and Scotland's First Minister spoke briefly at last weekend's VE Day ceremonies in London, the talks represent their first official face-to-face meeting since the election.
Speaking after the discussions, Mr Cameron said: "I'm always happy to look at proposals that other people make, but let's be clear, the Smith commission report was a report made here in Scotland by the Scottish parties, for the Scottish people."
"I promised to implement it in full and there will be a Scotland bill in the first Queen's Speech. It gives massive tax and spending powers to the Scottish Parliament."
"So if Scotland wants to take a different path, for instance, raise more taxes and spend more money, it will be able to."
It comes after bitter clashes in the election campaign, in which the SNP leader spoke of "locking Mr Cameron out of Downing Street" and he claimed she would be pulling Ed Miliband's strings.
The two leaders had been expected to clash on economic policy, the EU, Trident nuclear weapons, the SNP's demands for more power over tax and spending in Scotland and the prospects for a second referendum on independence.
Mr Cameron has pledged that UK government will press ahead with new devolution powers for Scotland, and that legislation will be announced in the Queen's Speech later this month.