Tom Brady living it up in London is no sweat for Gisele Bündchen and Joaquim Valente ... the rumored couple was in great spirits while working out with the supermodel and quarterback's daughter, Vivian, on Wednesday -- and it was hugs all around!!
Gisele brought the 10-year-old to a gym in Miami for a workout session with the family's jiu-jitsu instructor ... and we're told Valente was focused on helping out Vivian the whole time, while Bündchen trained alongside another female patron.
The trio was all smiles at the gym .