Kammala jumla mai zuwa: Ya kasance daya daga cikin 'yan majalisa masu zabe a cikin
1963 conclave, ya halarci Majalisar Vatican ta Biyu (1962<unk>1965), kuma a cikin shekarun 1960 an san shi da tsawon lokacin da ya yi aiki a matsayin masanin tauhidi da kuma tarihi tare da haɓakawa zuwa "Instituto Histórico y Geográfico del Uruguay" (Historical and Geographical Institute of Uruguay). Barbieri ya yi murabus a matsayin babban bishop na Montevideo a ranar 17 ga Nuwamba, 1976, bayan shekaru talatin da biyar na hidima. Lokacin da ya cika shekara tamanin a shekara ta 1972, duk da haka, ba a yarda Cardinal ya halarci kowane taro na gaba ba, kuma ya mutu a hankali kasa da shekara guda a cikin pontificate na Paparoma John Paul II, yana da shekara 86.