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Predicting the spatial distribution of facies and collocated acoustic impedance (IP) in the subsurface from fullstack seismic data is fundamental for assessing mineral and energy natural resources potential. In recent years, deep generative models (DGMs) such as variational autoencoders (VAEs) and generative adversarial networks (GANs) were proposed as powerful methods to reproduce complex facies patterns, honoring prior geological data. Variational Bayesian inference using inverse autoregressive flows (IAF) can be performed to infer the solution to a geophysical inversion problem from the encoded latent space of such pre-trained DGMs. The method proposed was successfully tested on synthetic case studies of ground penetrating radar data inversion, although not accounting for the spatial uncertainty affecting the facies-dependent property, from which the geophysical data is calculated. The influence of such uncertainty can significantly influence the accuracy inversion. In this work we propose specific VAE and GAN architectures to simultaneously predict facies and IP while accounting for both their spatial uncertainties. We then test the inversion with IAF on seismic inversion problems, demonstrating the methods capacity in reproducing the statistics of the training images and to solve the seismic inversion problem. We also evaluate advantages and limitations of both networks by comparing the results obtained.