We present 3D hydrodynamical simulations of the Galactic supernova remnant G352.7-0.1. This remnant is peculiar for having a shell-like inner ring structure and an outer arc in radio observations. In our model, the supernova explosion producing the remnant occurs inside and near the border of a spherical cloud with a density higher than that of the surrounding interstellar medium. A blowout is produced when the remnant reaches the border of the cloud. We have then used the results of our hydrodynamical simulations to calculate synthetic synchrotron radio emission maps, as well as synthetic X-ray maps. For some combinations of the particle acceleration mechanism and the direction of the line of sight, our radio maps display the peculiar morphology of G352.7-0.1 and reproduce the correct relative sizes of the main observed features. At the same time, the calculated X-ray maps reproduce the centrally peaked morphology of the observations.