The EU's vaccine rollout is woefully poor. The chart on this link shows the recent rates: https://www.politico.eu/article/coronavirus-vaccination-europe-by-the-numbers/
Much of the slow rollout was due to the sclerotic bureaucracy of the EU, their failure to approve and secure doses in time and now the scaremongering by the likes of Angela Merkel and Emmanual Macron when they falsely claimed that the Oxford/Astrazeneca vaccine was not effective in the over 65's (it's actually been proven to be more effective overall than the Pfizer vaccine), this scaremongering has backfired spectacularly because many citizens of France and Germany are refusing to have the O/A jab and this is already slowing what was already a lacklustre mass vaccination.
Many EU countries have not stated what their plans for easing restrictions or opening up their country to visitors however Germany yesterday announced they were in the grips of a third wave and would not be relaxing their current border restrictions.
Greece has decided to break from EU guidelines and is considering allowing British tourists from May if they can prove that they have been vaccinated.
Spain has previously stated that the country will not be open to tourists until 70% of the population is vaccinated which at the current rate would be well past the crucial summer tourist season however the tourist minister has contradicted this by claiming that the country would be open from April onwards. There has not been any confirmation about proof of vaccination but Spain has been at the forefront of proposing vaccine passports so I suspect they, like Greece, will require proof of vaccination.
Hungary has decided to break from the EU Commission's orders and has purchased quantities of the Russian Sputnik vaccine and I suspect as time goes on we will begin to see other countries breaking ranks and purchasing their own vaccines.
The UK is expected to have a significant surplus however the government has stated that it will offer this to poorer countries when it is available.