The match, which took place at the Bilino Pole stadium in Zenica, ended with a 3-0 victory for the guests.
Goals in the match were scored by Francesco Acherbi, Lorenzo Insigne and Andrea Belotti.
The Italian team ahead of schedule won the qualifying group J. The team of Bosnia takes fifth place and has no chance to qualify for the European Championship.
It was previously reported that Spain defeated Malta in the selection for Euro 2020.