It is shown that in a binary system where solid is in equilibrium with two immiscible liquids at a monotectic, crystal growth can take place without any diffusive segregation and constitutional supercooling does not occur. A two-liquid region has been found in the Hg-Te system and the growth processes are illustrated by the results of directionally freezing HgTe melts. The growth of (Hg, Cd)Te and (Hg, Mn)Te solid solutions is also discussed, and to explain inhomogeneity it is suggested that the segregation coefficients depend on crystal orientation. Other materials might be grown by the two-liquid method, but there is insufficient evidence about the phase diagrams.