<p>The present invention relates to a process for producing an oxidised cellulose pulp fibrillar network and a composite with lignocellulosic fibres comprising the following steps: (a)oxidising a cellulose pulp to obtain about0.3 to 2.5 mmol carboxylic groups per gram cellulose pulp; and about 0.1 to 5.0 mmol aldehyde groups per gram cellulose pulp; (b)homogenisation of the cellulose pulp of step (a)wherein the cellulose fibres are refined to provide a cellulose pulp comprising 0-50 % of fibres having an average length 0.7 mm -2.1 mm;and 50-100 % of fibres having a particle size of 0.05 -500 micrometer (µm); and optionally (c) combining with lignocellulosic fibre. Also step (d) drying of the cellulose pulp obtained by step (b)or step (c) may be included in the process.</p>