Summary: In this paper, we deal with a cancer invasion model with remodeling of ECM and slow diffusion. We consider this problem in a bounded domain of \(\mathbb{R}^N (N=2,3)\) with zero-flux boundary conditions, and it is shown that for any large initial datum, the problem admits a global ‘very’ weak solution for any slow diffusion case. It is worth noting that the coexistence of the nonlinear diffusion, haptotaxis and the remodeling of ECM brings essential difficulties. Firstly, unlike the linear diffusion case, the haptotaxis term cannot be merged into the diffusion term, which makes the regularity of ECM less important in the process of making energy estimates. Secondly, the regularity of ECM depends on the worst one of cells density and uPA, therefore, the difficulty caused by the haptotactic term is really highlighted due to the low regularity of ECM. Therefore, it is hard to get the boundedness of cells density because the regularity of ECM is difficult to improve, even for large \(m\).