The party could inherit a state that, in parts, is on the brink of collapse.
The Labour leader says his party opposes Israel's ground invasion of Gaza.
The pair met for 25 minutes at the White House and discussed issues including the economy, climate change and the Scottish referendum.
The two men remain at odds over the financial crisis, but there is a meeting of minds over the EU.
What the Labour leader will tell his party's National Policy Forum today.
The Labour leader struggled after the PM twisted a Harriet Harman quote on middle earners and tax.
Labour's policy review chief was recorded saying his leader is being "gamed out" by the media. But at least Ed's making the news, unlike his political opponents.
The PM's blast at Miliband over tomorrow's strike secured him victory.
The claim that Labour has moved too far to the left is based on a misreading of public opinion.
Miliband has asked radical questions but the answers have been too cautious for some.