EN
A new configuration of cobalt magnetic moments with respect to rare-earth ones on local level, named as parimagnetism, surviving above the Curie temperature was determined few years ago for ErCo_{2}. Occurrence of parimagnetism has recently been confirmed also for HoCo_{2}. In this paper we present results manifesting considerable composition and hydrostatic-pressure influence on characteristic temperatures of magnetism in Ho(Co_{1-x}Si_{x})_{2} compounds and draw a preliminary scenario analyzing the exchange interactions involved.