Simone Biles feels she achieved beyond her "wildest dreams" at the Paris Olympic Games despite failing to add to her three gold medals for the year on Monday.

Having won gold in the team, all-around and vault events, Biles was looking to round off her trip to France with more success in Monday's balance beam and floor finals.

However, the Team USA star fell from the beam and finished fifth in the former event before missing out on gold in the latter, instead taking silver behind Brazil's Rebeca Andrade.

Overall, Biles has now won 11 Olympic medals in total – seven gold, two silver and two bronze.

Larisa Latynina, who won 18 medals for the Soviet Union, is the most successful female gymnast in Olympic history.

She was not upset with herself for failing to get closer to that record, though, telling reporters: "I'm not upset about my performance, I'm actually happy, proud and even more excited that it's over, the stress of it.

"I've accomplished way more than my wildest dreams, not just at this Olympics but in the sport, so I can't be mad at my performances. 

"I'm pretty proud of myself and it's always so exciting to compete."

Biles' compatriot Jordan Chiles took bronze in the floor event following a successful appeal to her score, after which the two Americans bowed to Andrade on the podium.

"First, it was an all-black podium so that was super exciting for us but then Jordan was like 'should we bow to her?' and I was like, 'absolutely'," Biles said. 

"She's such an excitement to watch. It was just the right thing to do."