A search for $B_s^0 to overline{D}^{0} f_{0}(980)$ decays is performed using $3.0, {rm fb}^{-1}$ of $pp$ collision data recorded by the LHCb experiment during 2011 and 2012. The $f_{0}(980)$ meson is reconstructed through its decay to the $pi^{+}pi^{-}$ final state in the mass window $900, {rm MeV}/c^{2} < m(pi^{+}pi^{-}) < 1080, {rm MeV}/c^{2}$. No significant signal is observed. The first upper limits on the branching fraction of $mathcal{B}(B_s^0 to overline{D}^{0} f_{0}(980)) < 3.1,(3.4) times 10^{-6}$ are set at $90,%$ ($95,%$) confidence level.