A method for thermal bonding of a fibrous matrix to a support, comprising the steps of: i) deposition, on a bonding region of said support and/or of said fibrous matrix, of a pulverulent composition comprising essentially a starch hydrolysate having a DE of greater than 30, ii) bringing the bonding regions of said fibrous matrix and of said support into contact, iii) applying, to one and/or the other of the bonding regions of said support and of said fibrous matrix, a temperature of between 100 and 180° C. in order to bond said fibrous matrix to the support. The use of an adhesive composition comprising essentially a starch hydrolysate having a DE of greater than 30 in thermal bonding and an adhesive composition for binding a fibrous matrix to a support.