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A finite element model of large deformation, plane strain rolling contact between rubber‐coated rolls with thin media in the nip is developed. The rubber layers on each roll are modeled as incompressible, hyperelastic materials using a Neo‐Hookean model. Steady rolling contact is analyzed using a standard Lagrangian finite element code with a modified friction algorithm which converts the code from a Lagrangian framework to an Eulerian framework. The case of a rigid roll against a layered roll is presented. It is shown how this analysis can be easily extended to the case of two layered rolls with thin media in the nip if the thin media has a much higher elastic modulus than the layers. Simple static indentation models are shown to provide useful information regarding the steady rolling case. Numerical results illustrate the effect of indentation, nominal speed ratio and paper velocity on the velocity and traction distributions in the nip.