The invention relates to a server and a method for processing requests when several requests compete within the same connection having fixed resources. Conventionally, a priority scheme provides priority values for a priority parameter that express priorities relatively to the priorities of other requests, meaning that a relative allocation of resources is obtained for each request. To achieve a better control on the server by the client, the invention provides specific possible values for the priority parameter that correspond to respective processing profiles. Each processing profile represents specific server behavior for resources allocation, by defining a predefined amount of resources. Thus, the client may choose between using the specific possible values to control the exact amount of resources that will be allocated by the server to process some specific requests, and using the other possible values that correspond to a relative allocation of resources as already done in known techniques.