Labour leader Jeremy Corbyn is to begin his five-day visit with a trip to the Western Isles.
Ministers say the European Court of Justice is not needed to police its relationship with the EU.
Secretary of State James Brokenshire said he "would come forward with further information in my own way".
Carwyn Jones says talks with Nicola Sturgeon in Edinburgh are about ensuring people in Wales and Scotland "have the powers they should".
A woman accuses the man behind the Wings Over Scotland website of online harassment.
NI secretary to visit Dublin with Brexit and the restoration of Stormont executive being discussed.
Vince Cable says the Liberal Democrats will keep pushing for the legalisation of cannabis.