A system 10 and process for making beverages by infusing a product contained in a package 1. System 10 has an infusion chamber 7, a closure device 60 including upstream closure element 61 for selectively preventing and allowing access to chamber 7 from upstream of the latter and downstream closure element 62 for selectively receiving package 1 in chamber 7 or allowing package 1 to fall out of chamber 7 by gravity, the position of the upstream closure element 61 conditioning the position of downstream closure element 62 and vice versa.