The $\mbox{K}^0_{\rm S}\mbox{K}^0_{\rm S}$ final state in two-photon collisions is studied with the L3 detector at LEP. The mass spectrum is dominated by the formation of the f$_2\,\!\!\!'$(1525) tensor meson in the helicity-two state with a two-photon width times the branching ratio into $\rm K\bar{K}$ of $76 \pm\, 6 \pm\, 11\, {\rm eV}$. A clear signal for the formation of the f$_{\rm J}$(1710) is observed and it is found to be dominated by the spin-two helicity-two state. No resonance is observed in the mass region around $2.2 \,{\rm GeV}$ and an upper limit of $1.4 \,{\rm eV}$ at 95\% C.L. is derived for the two-photon width times the branching ratio into $\mbox{K}^0_{\rm S}\mbox{K}^0_{\rm S}$ for the glueball candidate $\xi(2230)$.