Scottish Conservative leader Ruth Davidson has urged Whitehall officials to start thinking like someone from Coatbridge as she said David Cameron's Government had to "wake up" to the threat still posed by independence.

Ms Davidson also called for a Committee of All Parliaments, where MPs and MSPs could rub shoulders, during a speech at the Scotland Office in London.

Her warning follows the SNP's highly successful general election campaign, which saw the party take 56 out of Scotland's 59 constituencies.

But Labour said Ms Davidson and Mr Cameron had risked the future of the UK with a series of attack adverts during the election, including one which depicted Alex Salmond as a pickpocket.

Ms Davidson said she had a message for all the pro-Union parties, including her own.

"The SNP's rise," she said "tells us we need to show a similar sense of vision and care about our own national story as they have for theirs.

"We who care about the Union - we all need to wake up.

"As others have put it, we need not just more devolution, we need more Union too."

The SNP's success in May could not be viewed by Unionists with "anything other than deep unease", she said.

In recent years pro-UK parties had too often waved away events like May's election result as "some sort of electoral spasm", she said.

But, she warned the invited audience, the SNP's narrative was still convincing voters.

"The truth is that if Scottish politics continues to be like this - if it continues to conform to the Nationalists' story of "us versus them" - then we will continue to lose," she said.

"Playing Nationalist games on their territory, under their rules means Nationalists win. This much should be obvious."

She called on pro-UK politicians to stiffen their reserve and argue that in favour of a Union she said was not broken.

In a twist on Alex Salmond's claim about independence she said that the Union was "inevitable" - "which - if it wasn't there already - would have needed inventing".

The Whitehall machine also needed to start thinking like a person in Coatbridge or Cardiff would, she said.

And she called for a Committee of all Parliaments, a recommendation of last year's Smith Commission, set up in the wake of the independence referendum.

The body would promote better working and diplomacy between the different parts of the UK she argued.

She also hit out against those in the pro-UK side who she said thought they could 'out Nat the Nats'.

"We have also seen a whole raft of proposals and plans being put forward from the pro-UK side, insisting that more needs to be done to solve the problem of the Union," she said.

"Too many pro-UK politicians have travelled down some unproductive routes in the last few months and years in trying to out-fox the SNP.

"Surely we know by now that you cannot out-Nat the Nats."

Labour's Shadow Scottish Secretary Ian Murray said: "Whilst Ruth Davidson is down in Whitehall she should have a word with David Cameron, whose conduct after the referendum and during the General Election campaign did more to risk the future of the UK than anything else.

"Ruth Davidson was complicit in the Tory campaign of division and grievance, which resorted to English nationalism in order to win votes.

"The future of the UK is too important to be the subject of silly party political games from the Tories."

SNP MSP Stewart Maxwell said:"While Ruth Davidson might claim she wants more powers for the Scottish Parliament, she fails to mention the fact that her Tory colleagues at Westminster have brought forward a Scotland Bill that falls far short of implementing the Smith Commission recommendations. The hypocrisy is astounding.

"The Tories have broken their promise to the people of Scotland to deliver the agreement in full - but what they do plan to deliver is more austerity cuts to public spending. If Ruth Davidson wants to see a more empowered Scottish Parliament, she should back our call for devolution of key economic and employment powers to allow us to strengthen and grow our economy."