Sky News

Cross-bencher Lord Blair points out that the Conservatives are in a minority in the House of Lords, which will be uncomfortable when driving through constitutional change - he's referring both to the Union and to boundary changes.

Sky News

Lib Dem president Baroness Brinton says she's pleased that membership has risen since the general election. There's a place for a party that believes in "equality, fairness and justice", she adds.

The Andrew Marr Show

Lord Mandelson was asked whether he backed Chuka Umunna for next Labour leader. Any clues in their body language while off-air?

Here's an interesting take on the election success of the Scottish Nationalist Party. According to Russia's top electoral official, it gives evidence that the independence referendum was rigged.

"It confirms our position, that the outcome of the independence referendum in Scotland was a total falsification," Vladimir Churov, head of the Central Electoral Commission, told the Tass news agency. The election results, he said, "show that the SNP, which fought for a yes in the referendum, won far more votes now than it did then".

"We doubted that the referendum had been organised cleanly and we had observers there," Churov continued. He felt that the scale of the SNP's success in Scotland "gives further cause to examine the referendum".

So, what's been going on today, as the UK's political leaders and top analysts get to grips with the events of the last week?

Labour's Lord Mandelson's been critical of Ed Miliband's tenure as leader, calling much of what went on an "experiment" which froze out many aspirational middle-class voters. Shadow business secretary Chuka Umunna and shadow education secretary Tristram Hunt - both possible contenders to replace Mr Miliband - have also called for a change of message.

Scottish First Minister Nicola Sturgeon has said the SNP will be the main opposition to the Conservatives during this parliament.

Meanwhile, senior Conservative MP David Davis has urged David Cameron to ensure he establishes stronger links with his backbenchers to avoid trouble over Europe.

John Pienaar
Pienaar’s Politics

The debate on the future "needs to be long and deep and painful for the Labour Party" because it is in "a real hole," shadow education secretary Tristram Hunt says. "We are in a hole in Scotland, and we are in a hole in England, and we've got challenges in Wales as well."

John Pienaar
Pienaar’s Politics

On the Labour pledge to abolish non-dom tax status, Tristram Hunt says: "Did that policy have traction on the streets of Stoke-on -Trent? No, because it didn't speak to everyday concerns about confidence in the Labour Party on mortgage rates."

John Pienaar
Pienaar’s Politics

Lord Mandelson, asked to elaborate on where Labour went wrong, says that the economy was the "hole in the Polo mint". Mandelson says he wasn't asked for advice from the Labour campaign until the day before the election, and that was on how Ed could form a minority government.

John Pienaar
Pienaar’s Politics

On losing touch with traditional Labour communities and "aspirational" people, Tristram Hunt adds: 

Lord Mandelson makes an unscheduled appearance on 5 live, saying he was "hijacked" while heading to the loo after the Andrew Marr Show. He says it was "mystifying" to the public that the party veered off in a different direction to New Labour, which won three elections. It was like the door being slammed in the faces of millions who had voted for it, he says.

John Pienaar
Pienaar’s Politics

Labour finds itself in a double bind, Tristram Hunt says. "We clearly weren't appealing enough to aspirational Britain. They didn't feel we were on their side - the John Lewis community weren't backing us, but on the other hand there were traditional Labour communities who also didn't feel that Labour was speaking to them."

What Labour needs to sort out is "the structure, the philosophy and the politics of the party, a well as the leadership," to be successful, shadow education secretary Tristram Hunt says.

WIll Tristram Hunt run for the Labour leadership?

Lord Mandelson, who famously had to hide behind a pseudonym while running Tony Blair's 1990s leadership bid, is non-committal when asked whether Chuka Umunna would be a good Labour leadership candidate. He says he wishes Mr Umunna was business secretary - ie that Labour had won the election. "He's got a little bit to wait, but he'll get there," Lord Mandelson adds. To being business secretary or leader?

John Pienaar
Pienaar’s Politics

How would the Conservative pledge to give English MPs a veto over laws that affect England work, Conservative MP John Redwood is asked.

The Andrew Marr Show

Labour must be "at the forefront" of the campaign to keep the UK in the European Union, shadow business secretary Chuka Umunna says as his slot on the programme heads towards an end.

The Andrew Marr Show

Chuka Umunna, who has all-but declared he's a contender with his Observer article, declines to say whether he will run for Labour leader, saying it's too early. But he says he wants to play a "full part" in rebuilding his party. It's "down but not out" and can win in 2020, he adds.

Labour does well at creating a "big tent" offer to voters and this must be its future position, shadow business secretary Chuka Umunna says. The big deficit was due to the banking crisis, he adds. But there was a "nervousness" in power in making the case for cutting it, Mr Umunna says.