Process for manufacturing a flat composite plastic structure, for example a floor covering, comprising a textile web and at least one layer of a plastic, for example a polyvinyl chloride, on the reverse side or on the top side, which impregnates the textile web, according to which process: a) the textile web is made available, b) a plastisol is made available, c) the textile web is coated with a layer of plastisol, d) a radiant surface is obtained by combustion of a combustible gas in contact with a porous structure, e) the layer of plastisol is heated, using the radiant surface, in order to remove the volatile organic fraction of the coated layer and to cause the plastisol to gel, wherein the combustion of the combustible gas takes place under flameless, catalytic conditions.