The cross section of the process $\rm e^+ e^- \rightarrow Z \gamma\gamma \rightarrow q \bar{q}\gamma\gamma$ is measured with 215\,pb$^{-1}$ of data collected with the L3 detector during the final LEP run at centre-of-mass energies around 205 GeV and 207 GeV. No deviation from the Standard Model expectation is observed. The full data sample of 713\,pb$^{-1}$, collected above the Z resonance, is used to constrain the coefficients of anomalous quartic gauge boson couplings to: \begin{center} \begin{tabular}{ccl} $-0.02~\mathrm{GeV}^{-2} <$&$ a_0/\Lambda^2 $&$< 0.03~\mathrm{GeV}^{-2}$ and\\ $-0.07~\mathrm{GeV}^{-2} <$&$ a_c/\Lambda^2 $&$< 0.05~\mathrm{GeV}^{-2}$,\\ \end{tabular} \end{center} at 95\% confidence level.