Hitherto there has been no practical pad-dwell process for wool piece goods which could be carried out without using large amounts of textile assistants. In addition, it has been necessary with all these processes to supply energy. Furthermore, large amounts of urea have always been used, which inevitably resulted in a high degree of waste water pollution. It has now been recognized according to the invention that satisfactory results can be obtained in the dyeing of wool piece goods with reactive dyes by effecting the padding operation with the dye solutions within the pH range from 1.5 to 4 and at room temperature and the subsequent dwell operation to obtain dye fixation without supply of heat. To prevent the formation of a frosting effect and to obtain deeper shades it is expediently possible also to add to the padding liquor nitrogen-containing ethoxylation products, in particular ethoxylated fatty amines, and/or alkyl polyglycol ethers.