|World Championships (LC)|
|1991 Perth||4x200 m freestyle|
|European Championships (LC)|
|1989 Bonn||4×200 m freestyle|
|1991 Athens||4×200 m freestyle|
|1991 Athens||200 m freestyle|
Gleria swam for Australia in the mid-1980s and was an Australian Institute of Sport scholarship holder before taking up on an offer to swim for Italy leading up to the 1988 Seoul Olympic Games. He competed at the 1986 Commonwealth Games for Australia, winning gold medals in both the 200 metre freestyle and the 4×200 metre freestyle relay.
Gleria competed for Italy at the 1988 Summer Olympic Games in Seoul, South Korea, in both the 100, 200 and 400 metre freestyle, finishing first in the B Final of the 200 metre freestyle in a time of 1 minute 49.28 seconds. He also contributed to all three of Italy's relay teams.
He also competed at the 1992 Summer Olympic Games in Barcelona, Spain, in the 100 and 200 metre freestyles and both freestyle relays.
- "Roberto Gleria". Sports Reference LLC.2009.