Fibres exhibiting good elastic properties and made from a thermoplastic, elastomeric polyolefin composition comprising (percent by weight): (A) 10 to less than 50% of one or more crystalline propylene polymers selected from homopolymers of propylene and random interpolymers of propylene and one or more recurring units in amounts up to 10%, the recurring units being selected from ethylene and a C4-C10 α -olefin, the polymer(s) being insoluble in xylene at room temperature in an amount higher than 80%; and (B) over 50 to 90% of a polymer fraction comprising one or more interpolymers of ethylene and at least one α-olefin of formula H2C=CHR2, where R2 is a C1-C8 linear or branched alkyl, containing from 13 to less than 60% of recurring units deriving from ethylene. The fibres are prepared by a process operating at a value of output per hole ranging from 5 to 15 g/min, the pressure in the extruder ranging from 15 to 30 bar, the temperature in the extruder head ranging from 200 to 300° C.
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