Bags and/or dark circles around the eyes of individuals afflicted therewith are reduced by administering to such individuals thus effective amounts of at least one extract of a non-photosynthetic and non-fruiting filamentous bacterium cultured in a medium which includes at least one non-sulfurous mineral and/or thermal water, e.g., an extract derived from the bacterium Vitreoscilla filiformis, in particular the strain ATCC 15551, cultured in a medium enriched with water from La Roche Posay.