When CJEU Bolagsupplysningen was held, I flagged immediately (I was not alone) that the judgment would necessarily create follow-up litigation.
At the level of the CJEU itself, Mittelbayerischer Verlag somewhat reigned in the consequences of Bier and Shevill, albeit not directly related to the discussions in Bolagsupplysningen. In Gtflix, the Court confirmed that each Member State where damage has occurred, will continue to have locus damni jurisdiction even if the claimant requests rectification of the information and the removal of the content placed online in another jurisdiction: one with full jurisdiction as either the Handlungsort or the place of the claimant’s centre of interests.
In England and Wales, Saïd v L’Express (a first instance case) held that it follows from Bolagsupplysningen that so far as internet publications are concerned, a claimant who is seeking injunctive relief (removal, correction in particular) may do so only in the places with full jurisdiction. This was implicitly confirmed in Napag, also a first instance case.
This conclusion has now been overturned by the Court of Appeal in Mincione v Gedi Gruppo Editoriale SPA  EWCA Civ 557. This is a libel case brought by an Italian national with acquired British citizenship who is resident in Switzerland. He sues the Italian-domiciled publisher of a daily newspaper and weekly magazine, both of which are published predominantly in Italy and in the Italian language.
The first instance judge, Mincione v Gedi Gruppo Editoriale SpA  EWHC 2006 (QB) had followed Said and Napag. The Court of Appeal notes that as a result of the Withdrawal Agreement it is bound by Bolagsupplysningen, it having been held before Brexit, and that it ‘can have regard to’ () Gtlfix.
Warby J, seeking support in Gtflix, holds injunctive jurisdiction to restrain a harmful internet publication that has either occurred or “may occur”, does exist for the locus damni court yet only in respect of publication that may occur within the territorial jurisdiction of the court concerned. It can justify a domestic internet injunction, even for a ‘mosaic’ (locus damni) court, yet not to grant an injunctive remedy that would inevitably take effect extraterritorially.
The first instance judgment therefore is overturned on legal substance but largely confirmed in practical reality: . Current proceedings are largely held in substance, albeit not in form, to be a claim for a single and indivisible remedy. That is because a domestic internet injunction, prohibiting further publication, in this case however limited it might be in form, would, on the undisputed evidence, inevitably have extraterritorial effect. In future, technology might mean that an order framed as a domestic internet injunction would or could take territorial effect only. Yet in current technological reality, it is said that ordering removal would immediately have extraterritorial substantive effect. Those with knowledge of the technology may have more to say about this. Update 29 04 4:50 PM: the first instance judgment suggests this is related to the limited E&W jurisdiction, while the order would impact other parts of the UK, too: : geo-blocking can only be done at a UK level, and the removal of a YouTube video can also be only done at a UK level (not: the E&W level).
The only part of the claim where jurisdiction for injunctive relief, if claimant is found at trial to have been libelled, will be possible, is for a so-called ‘section 12’ internet injunction: an order to publish a summary of the eventual judgment. That is because in the view of the the Court of Appeal, this relief can be targeted to the current subscriber basis of the publication outlets in England and Wales only.
Per Soriano, post Brexit a claimant will have to show that England and Wales is clearly the most appropriate place to bring an action, with locus damni per SC Brownlie the tort gateway. Bolagsupplysningen will therefore not echo for much longer in E&W, and I doubt therefore that the SC will hear an appeal if it were sought.
EU private international law, 3rd ed. 2021, 2.439 ff.