1. Method for enhancing an electronic message referred to as an e-mail, upon receipt in a user's e-mail inbox, this method comprising the following steps: a local application, acting on the e-mail inbox, which extracts a set of data contained in the incoming e-mail, transmits said set of data to a remote server, receives a response originating from the remote server, and attaches this response in the form of an attachment to said incoming e-mail, said remote server receives the set of data transmitted by the local application, analyzes the data so as to identify specific elements, and transmits these specific elements as a response to the local application, characterized in that the local application and the remote server operate asynchronously so that the incoming e-mail can be consulted in the e-mail inbox by the user while the remote server carries out the data analysis.