Reliable simulations of laseretarget interaction on the macroscopic scale are burdened by the fact that the energy transport is very often nonlocal. This means that the mean-free-path of the transported species is larger than the local gradient scale lengths and transport can be no longer considered diffusive. Kinetic simulations are not a feasible option due to tremendous computational demands, limited validity of the collisional operators and inaccurate treatment of thermal radiation. This is the point where hydrodynamic codes with non-local radiation and electron heat transport based on first principles emerge. The simulation code PETE (Plasma Euler and Transport Equations) combines both of them with a laser absorption method based on the Helmholtz equation and a radiation diffusion scheme presented in this article. In the case of modelling ablation processes it can be observed that both, thermal and radiative, transport processes are strongly non-local for laser intensities of 1013 W=cm2 and above. In this paper simulations for various laser intensities and different ablator materials are presented, where the non-local and diffusive treatments of radiation transport are compared. Significant discrepancies are observed, supporting importance of non-local transport for inertial confinement fusion related studies as well as for pre-pulse generated plasma in ultra-high intensity laseretarget interaction.The authors acknowledge support from the project High Field Initiative (HiFI) (CZ.02.1.01/0.0/0.0/15_003/0000449) and ELI Tools for Advanced Simulation (ELITAS) (CZ.02.1.01/0.0/0.0/16_013/0001793), both from European Regional Development Fund, the Czech Science Foundation project 18-20962S and Czech Technical University grant SGS16/247/OHK4/3T/14. This project has received funding from the European Union's Horizon 2020 research and innovation programme under grant agreement number 633053 (EUROfusion project CfP-AWP17-IFE-CEA-01).