The pseudophase diagrams of solutions of low molecular weight polyethylene (PE) (number-average molecular weight < 1500 g/mol) in octamethyl cyclotetrasiloxane (OCTS) and isododecane (IS) were determined by direct observation of cloud points and optical microscopy. In addition, melting temperatures were also determined by differential scanning calorimetry. In the range of single liquid-solid transitions, the data conformed to the classical melting temperature composition relation as a result of the formation of extended crystallites. The melting data were used to determine the interaction parameter of the PE in OCTS (1.4 +/- 0.1) and IS (0.22 +/- 0,05), The structural and thermal properties of the gels formed by a competing liquid-liquid and liquid-solid phase separation, under nonequilibrium conditions, contrast with the properties of the crystals formed from a single liquid-solid transition. Coarsening within the liquid phases was evidenced by optical microscopy, and insights about the mechanism of the kinetics of the coarsening process are given. The temporal changes of the melting temperature of crystallites formed from the heterogeneous phase (OCTS) reveal dynamics within a nonequilibrium state. In contrast, the crystallites formed from a homogeneous solution (IS) showed negligible melting-temperature changes with time.