Angela Rayner has confirmed that nothing is off the table for Andy Burnham as he looks to undo the harms of Brexit and secure a better deal with the EU.

The prime minister admitted on Saturday he is open to reintroducing freedom of movement in an intervention that has boosted hopes that the UK could look to rejoin the bloc after the next general election.

He said he wants to consider various options for a new relationship with Brussels, which could include a return to full EU membership or joining the single market, which would require free movement, and Ms Rayner suggested he is looking at options to include in Labour’s next manifesto.

The housing secretary said: “The prime minister is clear that you can’t take anything off the table when you’re having a conversation. But the prime minister is not saying we’re going back to where we were in 2016.…