Removal of carbon dioxide from natural gas for LNG production, can be carried out by cryogenic distillation using a multicolumn sequence to obtain a product stream with less than 50 ppm of CO2. Cryogenic adsorption-based processes, particularly pressure thermal swing adsorption, arise as a reliable and innovative alternative to replace the distillation columns, in particular the last one. Zeolites, activated carbons, and MOFs are good candidates as possible adsorbents. Process simulation shows that it is possible to produce methane with less than 50 ppm of carbon dioxide by a Cryo-PTSA achieving high methane recovery and low power consumption.