In superconductor-ferromagnet metallic (S/F) bilayers the superconducting condensate penetrates through the S/F interface into a ferromagnetic layer, and the pairing wave function not only decays deep into the F metal, but simultaneously oscillates on the magnetic coherence length, ξm. Based on these oscillations various new physical effects were predicted (see [1] and references therein), some of them have been observed experimentally: a non-monotonous and re-entrant superconducting Tc behavior as a function of the F metal thickness [1,2], Josephson junctions with intrinsic π-shift across the junction [3], and capsized differential I-V characteristics [4].We report on the first experimental observation of the double re-entrante superconductivity in Nb/Cu1xNix bilayers as a function of the ferromagnetic layer thickness dCuNi [5] (see Figure). Our experiments give a convincing evidence for the pairing function oscillations associated with a quasi-one dimensional Fulde-Ferrell-Larkin-Ovchinnikov (FFLO) [6] like state establishing in the ferromagnetic layer of a plane S/F bilayer. Detected phenomenon opens the perspectives for the design on it basis a new generation of spintronic devices – spin-valves, superconducting logic elements, pi-junctions, SFSgenerator of circulating current and other promising devices.The work was partially supported by A.v.Humboldt grant 3.4 - Fokoop - DEU/1009845 “Nonuniform superconductivity in layered SF-nanostructures Superconductor/Ferromagnet”.