The invention relates to a method and a device for communication between several connection interfaces, wherein one (SC3) of the connection interfaces (SC) is designated able to receive the stream of data received by each connection interface associated with a chosen process. Said connection interface thus designated (SC3) furthermore comprises a supplementary reception-list (RXS) cataloguing buffer memories containing the stream of data received by the set of connection interfaces participating in a chosen process. The buffer memories (SKB) of each connection interface (SC1, SC2, SC3) belongat the same time to two reception lists (RX1, RXS) and each furthermore comprise a supplementary preceding-pointer indicating the buffer memory which precedes the current buffer memory in the supplementary reception-list (RXS) and a supplementary following-pointer indicating the buffer memory which follows the current buffer memory in the supplementary reception list (RXS), thereby making it possible to access the stream of data received by the set of connection interfaces participating in said process, in the order of arrival of said stream of data received.