Some non-woven textiles, such as paper, are manufactured through a wet process: a suspension of fibres is spread on a moving permeable fabric, in which most of the water is drained and the fibre network is formed. This process involves many fluid-structure interactions, in particular during the transport of the fibres by the flow, where viscous forces can deform the fibres, and during the drainage/drying of the suspension, where capillary forces, associated with the air-liquid interfaces that appear as the liquid is removed, may locally deform adjacent fibres. In this talk, I will focus on two idealised systems. First, I will present a model experiment on the transport of flexible fibres in flow, and show how the deformation induced by viscous forces can affect the fibres trajectories, hence their orientation. Then, I will focus on the elasto-capillary wetting of flexible fibres, and show how elasticity modifies the capillary adhesion holding the fibres together.