An aqueous adhesive composition includes: a phenol/aldehyde resin; and an unsaturated elastomer latex. The phenol/aldehyde resin is based on at least: an aromatic polyaldehyde bearing at least two aldehyde functional groups and including at least one aromatic nucleus; and phloroglucinol. The adhesive composition is useable to make a textile material adhere to a crosslinkable rubber composition, and may be used as an advantageous alternative to a formaldehyde-based RFL adhesive.