The invention relates to a new biocompatible, biodegradable removable and repositionable adhesive composition, its preparation method and various uses thereof, including its use as surgical aid. The invention also discloses a matrix comprising such composition, such as e.g. a solid support covered, impregnated or saturated by said adhesive composition. Adhesive compositions according to the invention comprise at least one chitin and/or chitosan containing material. In a particular embodiment said adhesive composition further comprises at least one adhesive-enhancing agent whereby said agent is provided in a granular form, and preferably is a chitin and/or chitosan containing material as defined herein. The present adhesive composition and matrix comprising such composition can be used as gluing composition, in particular in wound-healing and/or surgical applications.