WO3 crystals with a surface composition of Na0.05WO3 were grown. These crystals exhibit a sharp diamagnetic step in magnetization at 91 K, and a magnetic hysteresis below this temperature. As the temperature is lowered below 100 K in transport measurements, a sharp metal to insulator transition is observed, this is followed by a sharp decrease in the resistivity when the temperature is lowered to about 90 K. When the surface of the crystals was covered by gold the depth of the diamagnetic step had decreased considerably. These results indicate a possible nucleation of a superconducting phase on the surface of these crystals. This is a non cuprate system exhibiting a critical temperature in the HTS range. PACS. 74.70.-b Superconducting materials (excluding high-Tc compounds) -74.20.-z Theories and models of superconducting state -74.60.Ec Mixed state, critical fields, and surface sheathTwo dimensional and quasi 2D superconductivity are common phenomena. The first example goes back to 1963 when Saint-James and de Gennes [1] showed that in an ideal sample with anhomogenous order parameter the nucleation of superconducting regions in decreasing field should always occur near the surface of the sample. For a superconductor of the second kind this implies that in fields H : H 2 < H < H 3 there remains a superconducting sheath on some parts of the sample confined to a thickness of the order of the correlation length ξ. In HTS perovskite cuprates the order parameter is spatially modulated along the c axis as the superconductivity is quasi 2D in character and is confined to the CuO planes coupled by Josephson junctions. A question arises about a possible system in which the structure is modulated in such a way so that superconductivity will develop on the surface only, not a type III superconductivity, and will not propagate into the bulk. In this short paper we suggest that WO 3 single crystals doped on the surface with sodium may constitute such a superconductor. This is a non cuprate system with a critical temperature of 91 K.The 5d-transition-metal oxides WO 3 and Na x WO 3 are similar in electronic structure to 3d oxides. They have nearly the ABO 3 perovskite crystal structure, with the W ions occupying the octahedral B cation sites. In WO 3 the A cation site is vacant, while in Na x WO 3 the Na + ions occupy that site. Stoichiometric WO 3 is an insulator, since the W 5d band is empty; when Na ions are added to WO 3 , they donate their 3s electron to the W 5d band, resulting in bulk metallic behavior for x ≥ 0.3 [2,3]. These materials in tetragonal or hexagonal form exhibit also bulk superconductivity at sub-liquid helium temperature [4,5]. Sheet superconductivity at 3 K in twin walls of a non superconducting tetragonal WO 3−x was reported by Aird et al. in 1998 [6,7]. For x < 0.3 the Na x WO 3 sodium tungsten bronzes, formed by doping the insulating host WO 3 with Na + ions, are n-type semiconductors.We prepared single crystals in which the surface is doped with Na + ions following the method described in reference...