  New simultaneous X-ray and radio observations of the archetypal
mode-switching pulsar PSR B0943+10 have been carried out with XMM-Newton and
the LOFAR, LWA and Arecibo radio telescopes in November 2014. They allowed us
to better constrain the X-ray spectral and variability properties of this
pulsar and to detect, for the first time, the X-ray pulsations also during the
X-ray-fainter mode. The combined timing and spectral analysis indicates that
unpulsed non-thermal emission, likely of magnetospheric origin, and pulsed
thermal emission from a small polar cap are present during both radio modes and
vary in a correlated way.
