Archaeological textiles are generally made of organic materials (like plant and animal fibres), which are largely affected by microorganisms growing in a burial/archaeological context. Special conditions that inhibit microbial growth need to be established for textile preservation to be achieved. In Greece, the most common condition is the gradual replacement of the organic matter of the textile fibres by metal salts, a process known as mineralization. Copper is the metal that, upon degradation, forms salts with the highest biocidal properties. Across the country, many textiles have spent thousands of years underground in the vicinity of copper artefacts. More specifically, in the case of pyre burials, the remaining cremated bones of the deceased would have been cleansed, wrapped in textiles, and placed inside copper-alloy urns to be buried. This burial custom, practised over a span of several centuries, has preserved some of the most important textile finds in Greece. This paper gives an overview of the types of textiles and fibre identification of pyre-burial textile finds and the conservation strategies followed for a selected set of case studies (dated from c. 1100–480 BCE). Linen fibres have been identified in the vast majority of textiles from pyre burials, which could be due to either the conditions established in the burial (favourable to cellulosic rather than proteinaceous fibres), or to burial customs. Of significant importance is the fact that at least three different textiles seem to have been placed inside the urns, while their construction and decoration includes techniques like tapestry, embroidery, and stitching, and dyes like shellfish purple and madder.