While doing some research on the topic of the application of foreign law (frustrating: nothing has happened at the international level since the issue was given up at the Hague some years ago), I have come across some publications on related topics which I believe deserve attention. One of them is whether there is a human right of public access to legal information; scholars in favor even claim a UN Convention proclaiming it should be adopted .
Thanks to these readings I remembered a case of the European Court of Human Rights which, except I am mistaken, is largely unknown. The judgement, of 6 April 2004, corresponds to application no. 75116/01, Karalyos and Huber v. Hungary and Greece. Hungary was found to have failed to comply with Article 6 ECHR in a case for the compensation of damages: the contents of the foreign applicable law had not been established nine years after the claim was lodged; the proceedings were still pending at an early stage before the Hungarian courts. What is more relevant, the local courts had not taken the approppriate steps to ascertain the contents of the foreign law, nor applied national law instead – a possibility foreseen in section 5 § 1 of Hungarian Law-Decree no. 13 of 1979 on International Private Law.
I suggest you have a look, also on the lengh of proceedings where foreign law is applicable, to Bekerman v. Liechtenstein, on application no. 34459/10 (although less representative than Karalyos).
I would disclose nothing new by asserting the potential of Article 6 ECtHR in the area. However, to infer a fundamental right of access to legal materials from the case law mentioned above would, to my mind, go too far. On the contrary, some consequences could definitly be drawn regarding the application of foreign law – and not only in Hungary. I am not aware it has happened. It would be great to have feedback, if someone knows better.
— Some readings on access to legal information as a right: Ginevra Peruginelli, ‘Law belongs to the people: access to law and justice’,  16(2) Legal Information Management 107 – quite short; Leesi Ebenezer Mitee, The Right of Public Access to Legal Information: A Proposal for Its Universal Recognition as a Human Right’ (2017) 18 German LJ 1429 – almost 70 pages.