Although details are still thin on the ground, Digital Minister Matt Hancock said the UK is seeking an "enhanced mechanism that builds on what the existing model of adequacy provides for third countries".
Hancock also said it would be best for both the UK and EU if "the UK and the EU to agree early to mutually recognise each other's’ data protection frameworks as the basis for the continued free flow of data between the EU and the UK from the point of exit until such time as new and more permanent arrangements come into force".
Those comments build on the contents of a 'future partnership' paper the Government published in August which called on the EU to recognise the UK's data protection framework as aligned with its own before the UK leaves the EU.
Hancock's latest comments were contained in a letter to the chair of the European Union Committee in the House of Lords, and set out the Government's response to a report the committee published in July.
The Data Protection Bill started committee stage this week in the House of Lords, the first chance for line by line scrutiny of the new legislation which is designed to replicate GDPR.