The method forms a phase change memory cell with a resistive element and a memory region of a phase change material. The resistive element has a first thin portion having a first sublithographic dimension in a first direction; and the memory region has a second thin portion having a second sublithographic dimension in a second direction which is transverse to said first direction. The first and second thin portions are in direct electrical contact and define a contact area having sublithographic extent. The second thin portion is formed in a slit of sublithographic dimensions. According to a first solution, oxide spacer portions are formed in a lithographic opening, delimited by a mold layer. According to a different solution, a sacrificial region is formed on top of a mold layer and is used for forming the sublithographic slit in the mold layer.