Update 16 May 2018 Vedanta have been given permission to appeal to the Supreme Court.
Update 7 March For a great supplement simply refer to Penelope Bergkamp’s post in which she discusses the wider issues of parent liablity v veil piercing etc.
The Court of Appeal, referring powerfully ia to VTB, has confirmed (albeit with dissenting opinion) lack of the English courts jurisdiction in  EWCA Civ 191 Okpabi et al v Shell. I reviewed the High Court’s decision in same here. Plenty of the High Court’s considerations. e.g. (pro inspiratio) joinder under Brussels I Recast, and the optionally distributive lex causae rule under Article 7 Rome II, do not feature in the Court of Appeal’s approach.
The crucial take-away from the judgment is that the English courts do not believe that headquarter instructed mandatory compliance, equates control. This runs along the lines of Scheindlin USDJ’s approach in Apartheid.
(Handbook of) European Private International Law, 2nd ed. 2016, Chapter 8, Heading 8.3.