Peers are looking at new EU rules on data protection. MPs in the Commons are questioning Welsh ministers, ahead of the last Prime Minister's Questions of the 2015 Parliament.
MSPs take evidence from witnesses including FSB and the Scottish Retail Consortium on non-domestic rates.
The European Parliament gives final approval to an EU visa waiver for Ukrainians, due to come into effect in June.
AMs quiz the environment and communities secretaries. There are debates on the 'fourth industrial revolution', the construction industry and local government.
Conservative MP Andrew Tyrie - who has announced he is quitting Parliament - dramatised the increased importance of the Commons select committee system.