I think this is the relevant paragraph in the document (page 27 in http://www.europarl.europa.eu/RegData/commissions/imco/inag/... ) linked from the article: "3. Competent authorities shall have at least the following enforcement powers: (e) where no other effective means are available to bring about the cessation or the prohibition of the infringement including by requesting a third party or other public authority t…
It's actually worse than 'blocking', they get control of the domain.