In many countries (such as France, Spain, ...), (science) master thesis is a research project of a couple of months spent in the lab/field under the supervision of an academics, at the end of the year of the Master study. The thesis manuscript is submitted to the Master to validate the course at the end of the project. The project can be done in any research laboratory, especially in a different university (or different country) you are registered in. Usually, labs publish their master project proposals independently of the Master courses and students can apply to. It is like a mini-PhD.
In the UK (and probably other countries?), it seems that the Master project should be done in a lab from the same University where registered.
My questions are:
is it possible to do a Master thesis project in a UK lab if one is registered in a Master which University is outside the UK or is different than the Master's University?
Or from the point of view of a UK academic, is it possible to supervise a project of a student who is enrolled in a Master outside its own Uni or outside the UK?