Over the past months ESMA has published a number of opinions and letters in relation to the supervisory convergence in a number of areas in the context of the United Kingdom withdrawing from the European Union. These have been published to ensure that outsourced (mainly UK) functions are sufficient and compliant with MiFID II for Investment Firms in the EU to be able to use them and to issue general principles for EUs 27 NCAs to adhere to following brexit. 

You can read the opinions and updates here: