A few days ago, an international research seminar on "The History of the Caves of Qumran" was held in Lugano, Switzerland (20-21 February); the program of that seminar may be found here. One participant, Drew Longacre, reports that "Yonatan Adler announced the discovery of 9 (possibly 10) previously unknown tefillin slips found inside of unopened tefillin cases from Qumran. The slips have not yet been opened and read, but they promise to be very interesting." There is also an Italian online news article confirming this report, with an image of what may be the tefillin in question (see image on the left). I have translated this Italian article into English below, with the help of Google Translate. Thanks to David Eastman for bringing this to my attention.
"LUGANO - During the International Research Seminar on "The History of the Caves of Qumran," organized by the Institute of Culture and Archaeology of the Biblical lands of the Faculty of Theology of Lugano (chaired by Prof. Dr. Giorgio Paximadi), the discovery of new manuscripts of Qumran was announced.