Square Enix announced they will be holding their E3 2019 press conference on June 10 at 6PM PST. Might be a pre-taped conference like others they've held in the past.
For some reference, that timeslot was Sony's traditional spot at E3 before they decided to not hold one this year.
https://square-enix-games.com/en_US/news/e3-2019