The present invention relates to a process for the dyeing of a polyester - cotton - union fabric with dispersion - and reactive dyes in a single- the method, wherein a padding liquor, the dyes, alkali and a buffer system, on the fabric padded and subsequently dried and is substituted thermosol,characterized in that(i), as alkali metal and / or sodium carbonate and sodium hydrogencarbonate as a buffer borax or boric acid is used and(ii) in the case of 100 to 150°C. and 20 to 40 vol. -% relative humidity is dried and then, without any intermediate step at 190 to 230°C. is varied thermosol.
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