Labour leader Jeremy Corbyn accuses the prime minister of wanting to turn the UK into a low-tax economy; while Theresa May said she wanted the UK to be outward-looking and prosperous post-Brexit.
Coverage of Wednesday at the Stormont Assembly: Top civil servant says adviser to former first minister Arlene Foster exerted influence over RHI scheme
MEPs debate Malta's EU presidency, last month's summit of EU leaders - and hold elections to choose the Parliament's 14 vice-presidents.
MSPs have voted to demand the Scottish government allow Highlands and Islands to retain its own board.
Committee members discuss the Welsh Language Standards. AMs quiz the Counsel General. There's a statement on the trade union bill. Debates are held on Tata Steel, the National Grid, bin collections and small businesses.
Brexit will dominate the week's Parliamentary statements, with anticipation over the Supreme Court ruling, and Theresa May's speech due.