Filming for series 2 has just begun in Amsterdam, London and Paris and will air in America in April 2019. Anyone's guess as to when we'll get the second instalment - hopefully soon after. Writer of first series has stepped down as she is concentrating on her show, Fleabag.
I've only watched the first 3 episodes, but there's going to have to be a convincing reason Vilanelle doesn't just bump off Eve, considering she already knows who and where she is....