Originally Posted by
plunet
The news today that the EU commission is now recommending that travellers from the US should no longer be admitted to EU countries for non-essential travel may change the situation over the next few days.
https://www.bbc.co.uk/news/world-us-canada-58386967
It's the decision of individual EU member states to go with the recommendation so it could end up being quite confusing very quickly.
OP doesn't say where parents are from, but Covishield vaccine suggests it is not the USA.
OP: would it make sense for your parents to get an additional does of the EU approved they were given? Will NHS do it? This would seem to provide reassuring additional protection.