Depends about what you mean by separation, autonomy, sovereignty etc.
There are many regions of the UK that would like to see more autonomy because the national policies seem to be geared toward one region and one part of the UK economy and these are held by many to be damaging our manufacturing industries.
Italy has a similar situation where parts of the industrialised north have formed their own political movements whose aims range between autonomy through to separate statehood.(The somethingorother league)
Self-rule is not necessarily sovereignty for example the Isle of Man has about as much self-rule and autonomy as it is possible to have but in the international arena it is represented by the UK and actual sovereignity is greyish in the sense that passports are not required by UK citizens to go there but the UK is responsible for its security.
The closer integration of the European Union has meant that the Nationalistic imperatives of many European nations are less important.
There are small regions with distinct identities of their own, historically and in customs and language, but these were supressed by the parent state in its need for national unity in the face of threats from other states.
The European Act states that peoples and individuals have a right to self-expression and this is being interpreted in a number of differant ways depending upon whichever side of the myriad disputes the observer is on.
Looking at a wider picture with tax harmonisation, legal and economic convergance, power seems to be gravitating toward the EU where the bigger players such as France, UK, Germany operate more to try and change things in their favour in other European states in a way that was not possible before.
This in turn makes the EU parliament a more powerful body and slowly the power or the governments of EU nations seems to diminish.
What might happen in the long long term future is that the current EU nations either pull out of the EU to hang on to their national sovereignty which is unlikely in the forseable future or that the same nations will become the equivalent of US states where there is a local National government and a Europewide Federal one.
With the state being of much reduced importance local identities and petty nationalism may find a suitable arena.