The present invention relates to a device for packaging and applying a cosmetic composition (P) to human keratin materials, in particular the lips, comprising: on the one hand, a body forming a reservoir intended to contain the cosmetic composition (P) to apply, • and on the other hand, an applicator comprising an applicator member defining a convex application surface having at least one vertex； the reservoir body having a housing adapted to receive the applicator member and a partition wall with the reservoir has at least one through orifice in direct fluid communication with the reservoir, said orifices being located only at the level of at least a bottom of the housing facing the vicinity of a top of the applicator member when said applicator member is in place in the housing of the reservoir body, characterized in that - the application member is made to from a porous open cell material； the cosmetic composition (P) being in the form of a liquid emulsion comprising: water, at least one film-forming agent chosen from vinyl polymers comprising at least one unit derived from a carbosiloxane dendrimer； At least one polar nonvolatile hydrocarbon oil, at least one phenylated silicone nonvolatile oil, preferably without dimethicone moiety. It also relates to a process for makeup and / or care of the lips in which is applied to the lips, said cosmetic composition by means of the device described above.Fig. : 1La présente invention concerne un dispositif de conditionnement et d'application d'une composition cosmétique (P) sur les matières kératiniques humaines, en particulier les lèvres, comprenant : • d'une part, un corps formant un réservoir destiné à contenir la composition cosmétique (P) à appliquer, • et d'autre part, un applicateur comprenant un organe d'application définissant une surface d'application convexe présentant au moins un sommet ； le corps formant réservoir comportant un logement apte à recevoir l'organe d'application et dont une paroi de séparation av
