Swimming
Australia has come third in the hotly contested men's 4 x 100 metres freestyle relay, behind France and the US in the race that has secured Michael Phelps his 19th Olympic gold medal.
Emma McKeon has finished seventh in the final of the 100 metres butterfly.
In the final of the 400 metres freestyle, Australians Jessica Ashwood and Tamsin Cook are part of a strong field that includes American swimming sensation Kathleen Ledecky.
Thomas Fraser-Holmes finished sixth in his semi-final of the 200 metres freestyle, but his time was not fast enough to get him into the final.
Shooting
Australian trap shooter Catherine Skinner has claimed gold, narrowly beating New Zealand's Natalie Rooney.
In a tight final Skinner finished with 12/15 just beating Rooney's 11/15.
Laetisha Scanlon finished fifth in the same event on her Olympic debut.
Her win takes Australia's gold medal tally to three, with two gold already in the pool.
More could possibly follow later today, Australia time, with more Australians to feature in some key events, including the men's 4x100 metre relay.
Diving
Women's three metre synchronised diving pair, Anabelle Smith and Maddison Keeney, have won bronze behind China and Italy.
Hockey
Australia's men's hockey team have lost their second match to Spain, going down 0-1.
They had previously defeated New Zealand in their opening match 2-1 while the women went down to Great Britain 1-2.
Basketball
The Australian women's team has beaten Turkey on Monday morning Australian time in their preliminary round match.
The final score was 61-56.
Table tennis
The table tennis competition continued for Australia after 9am on Monday morning, Australian time, with Jian Fang Lay up against Singapore's Mengyu Yu in the women's singles.
Lay lost to Yu in straight sets, 11-9, 11-9, 11-6, 12-10, meaning Lay is out of the women's singles competition.
Gymnastics
Australia's Larissa Miller has failed to qualify for the individual apparatus finals, finishing 30th on the uneven bars and 67th on floor.
American rising star Simone Biles qualified first in floor, vault and balance beam while her teammate Madison Kocian qualified first in the uneven bars.
Biles also qualified first for the all-round final.
The Russian team stumbled frequently during the first qualifying day, blaming their disappointing performance on opening day nerves.
"We performed not so good but not so bad either, I think it's normal for the first day," gymnast Aliya Mustafina said through an interpreter.
Rugby Sevens
Australia's rugby sevens women has defeated Spain 24-0 in the quarter finals to progress through to the semi-finals.
The team qualified for the quarter-finals with decisive victories over both Colombia and Fiji in their opening matches.
The team demolished Colombia 53-0 in their first match and defeated Fiji 36-0.
New Zealand and France have also qualified for the quarter-finals, with all three teams gaining enough points in their first matches to guarantee they will progress.
Refugee team
Syrian refugee swimming, Yusra Mardini, has finished 41st in the women's 100 metres butterfly.
Mardini famously swam for three hours, pushing and pulling a boat carrying 20 people to safety as they made the difficult crossing to Europe across the Mediterranean.
"It was really amazing and an incredible feeling to compete here in the Olympics and I am happy and glad for that...I'm really happy to be here and to see all of the champions and other swimmers here," she said.
She will also compete in the 100 metres freestyle on Wednesday.
The teenager has now turned her sights on training for the Tokyo 2020 Olympics.
Cycling
Cyclist Amanda Spratt was the best of the Australians, finishing 15th in the women's road race.
Anna Van Der Breggen of the Netherlands took out the gold after her fellow countrywomen, Annemiek van Vleuten, crashed out badly while in the lead.
Gracie Elvin crossed the line in 49th place.
Tennis
American tennis great Serena Williams saw off Australia's Daria Gavrilova in straight sets, 6-4, 6-2.
She will next play Japan's world No.35 Misaki Doi, who overcame Yaroslava Shvedova in straight sets.
Other well-known players German Angelique Kerber and Britain's Andy Murray also moved through to the next round.
Australian Sam Groth lost to Belguim's David Goffin while Sam Stosur defeated Latvia's Jelena Ostapenko in three sets, 1-6, 6-3, 6-2.
Equestrian
In the team equestrian event, Australia is sitting in third overall after the dressage round.
There are still the cross country and the jumping rounds to come.
Rowing
All rowing events scheduled for Sunday, Rio time, have been rescheduled to Monday.
- with Reuters, AAP
