The third largest bank in the Netherlands (~6 million customers) has started testing their own bitcoin-wallet with 500 of its customers. It's called "Wallie", according to Dutch crypto news site LekkerCryptisch: https://lekkercryptisch.nl/nieuws/2019/01/22/ABN-AMRO-experimenteert-met-eigen-Bitcoin-wallet.
As the article is Dutch (which turns out to be quite readable using a translation service), here's a TL;DR.
The wallet is called Wallie. The goal of the experiment is to decide wether or not to continue development. If it turns out to be successful, it'll be rolled out to all of the banks customers.
The invitation sent to the customers stats that only bitcoin is supported in the test version of the app.
An explanatory page states that the bank manages and stores the users bitcoin, is insured (up to €6k), and integrated into the bank's online banking app.
The article is filled with sources referring to ABN AMRO's official Twitter account, as well as information from the official banking app.