The collection of monographs on European Union law on Level 3 is not arranged according to subject or topic. They are arranged alphabetically by the last name of the first author or editor. In other words, you will not find all the works on EU competition law shelved alongside each other.
To find current EU law books, use European Union countries as the geographic filter to your SOLO subject search.
eg Law - European Union countries will find general overviews
If you are after a specific legal topic/subject area of EU law, then of course try more specific search terms eg
Competition, Unfair -- European Union countries AND Antitrust law -- European Union countries
If you are interested in the earlier incarnations of the EU, then use
European Community countries and/or European Economic Community countries
Reading List titles may be in the Law Reserve
As EU law is a taught subject, some of titles you find in a SOLO search will give the Law Library location as Bodleian Law Library Reserve Collection. You may also notice that their shelf marks begin KW -& not Euro Comm! If you wish to read one of these please just ask for a copy from the Enquiry Desk. Return the book to the Enquiry Desk when you have finished with it. You may keep it for as long as you are in the Law Bod.
Not all of this category of work is in the Law Reserve!
Below is a work available on open shelf on Level 3