In offshore oilfield exploration, gas is often transported through long-distance transfer pipelines or production pipelines on the seabed. Along the pipeline, condensate may be formed, which dramatically affect the delivery capacity and the operational mode, requiring condensate removal employing pigs. Further, due to the presence of extreme conditions encountered in these pipelines, such as low temperatures and high pressures, hydrate plug can also be formed inside the gas pipelines. In this case, special procedures are foreseen to remove the hydrate plug, during which condensate may be generated. Thus, it is essential that these operations should be simulated throughout the design and operation stages to evaluate the efficacy of these procedures and the process variable values in order to guarantee the system s operational safety. The purpose of this study is to investigate numerically the process of displacement of pigs and hydrate plugs along pipelines, in the presence of condensate. The condensate formation is obtained through a phase behavior model (FLASH), which employs the Peng-Robinson equation to calculate the thermodynamic properties for both phases. Two-phase flow is modeled as one-dimensional. The conservation equations of mass, linear momentum and energy, coupled with the force balance to predict the displacement of the pig/plug are solved, using the numerical method of finite differences. The flow and thermodynamic models were validated with analytical solutions and literature data. The validation of the thermodynamic model included the phase equilibrium and thermodynamic properties. Case studies of displacement of pig and hydrate plug in the presence of condensate were performed and the results obtained were very satisfactory, allowing to conclude that the developed models can be used for the analysis and prediction of the pigging operations and removal of hydrate plugs in the presence of condensate.