They disagree on the merits of a four-day week, but could a shared love of Victorian engineering unite them?

They disagreed on the EU, but both worry about the rise of far right parties and dislike religions

They had differing views on the future of transport, but could they agree on the Tories’ handling of Covid?

They had differing views on the EU, but could they agree on Britain’s new prime minister?

They had different takes on immigration, the monarchy and Britain’s colonial past – how did they end up swapping numbers?

With differing views on striking junior doctors and Brexit, could a lunch and ‘proper conversation’ lead to common ground?

One worries that immigrants who don’t assimilate are a threat to British culture. The other thinks we can learn a lot from newcomers. Was there anything they could agree on?

They wrestled with communism and capitalism, taxes and Brexit – and still ended up swapping numbers

A lively chat saw different views on gas-guzzling cars and whether we are able to halt the climate emergency, but could they at least agree on air pollution?

Did a committed omnivore and a committed vegan chew things over in a friendly manner? And what happened when they moved on to bullying on social media?

They disagreed about university tuition fees and the monarchy – but did they reach an adequate point of refreshment to put aside their differences?

They’re both natural Labour supporters, but one is so unhappy with the leadership he isn’t planning to vote for the party. Will either of them see red?

One is pro-Scottish independence, the other against – can they find common ground on taxation or the new laws on hate crimes?

College fees, free healthcare and transphobia proved to be meaty topics for these ‘Guardian-reading liberals’

Could they agree on immigration and housing? And why did the conversation turn to pigeon racing?

They both vote Labour and listen to The Rest Is Politics, but will they agree on the royal family or arming Ukraine?

The royal family was a bone of contention, but not party politics, education, or mansplaining

They disagree on the monarchy and whether boomers had it easy, but can they understand each other’s reasons for voting leave and remain?

One wants to fix the second chamber. The other would scrap it and bring in the ‘Danish system’. Can they meet halfway?

They differed on how to bring an end to the crisis in the Middle East, but could they find a meeting of minds over the rise of populism – and nudity?