  We analyze a microscopic mechanism behind coexistence of a heavy Fermi liquid
and geometric frustration in Kondo lattices. We consider a geometrically
frustrated periodic Anderson model and demonstrate how orbital fluctuations
lead to a Kondo-screened phase in the limit of extreme strong frustration when
only local {\it singlet} states participate in the low-energy physics. We also
propose a setup to realize and study this exotic state with $SU (3)$-symmetric
alkaline-earth cold atoms.
