Dynamic viscoelastic measurements were combined with differential scanning calorimetry (DSC) and atomic force microscopy (AFM) analysis to investigate the rheology, phase structure, and morphology of poly(l-lactide) (PLLA), poly(epsilon-caprolactone) (PCL), poly(d,l-lactide) (PDLLA) with molar composition l-LA/d-LA = 53:47, and poly(l-lactide-co-epsilon-caprolactone) (PLAcoCL) with molar composition l-LA/CL = 67:33. After melt conformation, both copolymers PDLLA and PLAcoCL were found to be amorphous whereas PLLA and PCL presented partial crystallinity. The copolymers and PCL were considered as thermorheologically simple according to the rheological methods employed. Therefore, data from different temperatures could be overlapped by a simple horizontal shift (a (T)) on elastic modulus, G', and loss modulus, G', versus frequency graph, generating the corresponding master curves. Moreover, these master curves showed a dependency of GaEuro(3)a parts per thousand omega and G'a parts per thousand omega (2) at low frequencies, which is a characteristic of homogeneous melts. For the first time, fundamental viscoelastic parameters, such as entanglement modulus G (N) (0) and reptation time tau (d), of a PLAcoCL copolymer were obtained and correlated to chain microstructure. PLLA, by contrast, was unexpectedly revealed as a thermorheologically complex liquid according to the failure observed in the superposition of the phase angle (delta) versus the complex modulus (G*); this result suggests that the narrow window for rheological measurements, chosen to be close to the melting point centered at 180 A degrees C thus avoiding thermal degradation, was not sufficient to assure an homogeneous behavior of PLLA melts. The understanding of the melt rheology related to the chain microstructural aspects will help in the understanding of the complex phase structures present in medical devices.