Abstract In the present work the solubility of CHI 3 (s) in xenon has been spectrophotometrically measured at different sub- and supercritical temperatures, and along the isotherm of T =316.9 K at pressures between 5 MPa and 10 MPa. Using these results together with already available solubilities for I 2 (s) and CHI 3 (s) in near-critical solvents, we have calculated the Krichevskii function (∂ p /∂ x ) ∞ V , T for a series of dilute near-critical binary solutions; this quantity accounts for solute–solvent interactions in the binary mixtures. The Krichevskii functions are found to be only weakly dependent on the temperature. The fluid density dependence of (∂ p /∂ x ) ∞ V , T is discussed in terms of intermolecular interactions; the fluorinated solvents show very low interaction with the solutes. Krichevskii functions can be used to predict various thermodynamic properties of the solution.