The elementary excitations of a strongly interacting two-dimensional Fermi liquid have been investigated by inelastic neutron scattering in an experimental model system: a monolayer of liquid 3 He adsorbed on graphite preplated by a monolayer of solid 4 He. We observed for the first time the particle-hole excitations characterizing the Fermi liquid state of two-dimensional liquid 3 He, and we were also able to identify the highly interesting zero-sound collective mode above a particle-hole band. Contrarily to bulk 3 He, at low wave-vectors this mode lies very close to the particle-hole band. At intermediate wave-vectors, the collective mode enters the particle-hole band, where it is strongly broadened by Landau damping. At high wave-vectors, where the Landau theory is not applicable, the zero-sound collective mode reappears beyond the particlehole band as a well defined excitation, with a dispersion relation quite similar to that of superfluid 4 He. This spectacular effect is observed for the first time in a Fermi liquid (including plasmons excitations in electronic systems).