A promo is out there.
The official Twitter account for The X-Files (@thexfilesfox) just teased that something will happen on July 7, 2015:
7.7.15 #TheXFiles— The X-Files (@thexfilesfox) July 1, 2015
Fox will most likely release their first teaser trailer for their upcoming six-episode The X-Files mini-series that is set to premiere on Sunday, January 24, 2016.
July 7, 2015 Update: As expected, Fox released a teaser trailer for the upcoming season which can be seen below:
Image credit: Fox