  Aims. Fast Radio Bursts are bright radio transients whose origin has not yet
explained. The search for a multi-wavelength counterpart of those events can
put a tight constrain on the emission mechanism and the progenitor source.
Methods. We conducted a multi-wavelength observational campaign on FRB
20180916B between October 2020 and August 2021 during eight activity cycles of
the source. Observations were led in the radio band by the SRT both at 336 MHz
and 1547 MHz and the uGMRT at 400 MHz. Simultaneous observations have been
conducted by the optical telescopes Asiago (Galileo and Copernico), CMO SAI
MSU, CAHA 2.2m, RTT-150 and TNG, and X/Gamma-ray detectors on board the AGILE,
Insight-HXMT, INTEGRAL and Swift satellites. Results. We present the detection
of 14 new bursts detected with the SRT at 336 MHz and seven new bursts with the
uGMRT from this source. We provide the deepest prompt upper limits in the
optical band fro FRB 20180916B to date. In fact, the TNG/SiFAP2 observation
simultaneous to a burst detection by uGMRT gives an upper limit E_optical /
E_radio < 1.3 x 10^2. Another burst detected by the SRT at 336 MHz was also
co-observed by Insight-HMXT. The non-detection in the X-rays yields an upper
limit (1-30 keV band) of E_X-ray / E_radio in the range of (0.9-1.3) x 10^7,
depending on which model is considered for the X-ray emission.
