Secretary of State Hilary Benn hosted Tánaiste Simon Harris and Irish Justice Minister Jim O'Callaghan.
Nigel Farage says his party has the best vetting - but campaigners find candidates who appear to have slipped through the net.
An agreement has emerged as a key European demand in ongoing negotiations for a post-Brexit "reset".
Labour MP Tonia Antoniazzi says Welsh government and others were "captured" by LGBT charities.
The by-election on 1 May will also be seen as a measure of the broader political mood that could set the tone in Westminster.
The comments came after Kyiv rejected suggestions it could recognise Russian control of Crimea.
UK negotiators are working "flat out" to get a trade deal with the US, Chancellor Rachel Reeves says.
The Tory leader thinks the shadow justice secretary is a "team player," her spokesman tells reporters.
Updated guidance is expected following last week's Supreme Court ruling that sex is biological.
The new measures will close a "glaring gap in the law", Met Commissioner Sir Mark Rowley said.
The PM says the Supreme Court ruling brought clarity and now is the time to "lower the temperature" on the debate.
The move puts the London mayor on a potential collision course with ministers, after the chancellor backed plans for the expansion of the airport.
Transport secretary Heidi Alexander said the government would provide at least 10,000 extra driving tests a month.
The government says it has listened to MPs who called for a ban on panels linked to slave labour.
The landmark Supreme Court ruling has changed the tone of the conversation, our political editor writes.
The landmark Supreme Court ruling has changed the tone of the conversation, our political editor writes.
But the IMF also sees UK inflation going up as bills rise, while economies will be hit by Trump tariffs.
The UK Supreme Court has ruled that the legal definition of a woman should be based on biological sex.
The UK Supreme Court has ruled that the legal definition of a woman should be based on biological sex.
Justice Secretary Shabana Mahmood unveiled further details in the House of Commons on Tuesday.