  The present H.E.S.S. II era of the H.E.S.S. collaboration follows from the
successful upgrade of the H.E.S.S. array, and the first published results
obtained with this new instrument. Thanks to these achievements, a lower energy
threshold with H.E.S.S. II than that obtained previously with H.E.S.S. I has
been clearly demonstrated. The success of these developments has now opened up
a whole new lower-energy window to the Universe. I here explore, from the
extragalactic point of view, both what has been learnt so far from the H.E.S.S.
observations through this new window, and postulate also on what else might
still be seen beyond this. I will firstly reflect upon the AGN result
highlights, obtained using the new H.E.S.S. II instrument. Specifically, the
rise in detections of bright FSRQ AGN with H.E.S.S. II will be addressed [eg.
PKS 0736 (z=0.19), PKS 1510 (z=0.36), and 3C 279 (z=0.54)]. Hand in hand with
this recent progress, the benefits brought to our efforts to observe GRBs
through both access to this new lower energy window, and the quick instrument
response to ToO alerts, will be covered. Furthermore, the potential for the
discovery of new transient phenomena in the H.E.S.S. II era will also be
emphasised. Lastly, the question as to lessons learnt from previous H.E.S.S. I
AGN results about the intrinsic source spectra, primarily focusing on the HBL
class, will be considered.
