The GT Sport EU closed beta sign ups have re-opened today so if you want any chance to participate in the beta I would strongly suggest adding your PSN ID in to the pot right now.
It's anyone's guess as to how long the second phase of closed beta sign ups will actually last so you may need to be quick to get your name in the hat before they suddenly close once more.
Completing the enrolment form does not guarantee a place on the Gran Turismo Sport beta and Invitations are purely at Sony Interactive Entertainment Europe's (SIEE's) discretion. Successful candidates will be contacted via email with the relevant information on how to access the GT Sport beta.
You can sign up for the lottery that is the GT Sport closed beta right here but be quick, you've been warned!