Thermodynamic characteristics of infinitely diluted solutions of n-alkanes and n-alcohols in the columnar and isotropic phases of poly(propyleneimine) dendrimers, generations 1-3 (G1-G3), have been investigated by inverse gas chromatography (IGC). Effects of the dendrimer structure, the chemical nature and molecular size of the non-mesogenes on the ability to get dissolved in the liquid crystalline phases are discussed. The compatibility of the low-molecular compounds with the anisotropic phases is stated to increase with generation G.