Marcus Smith wanders over for a chat, mainly about how mutual acquaintance Danny Care is adjusting to life as a civilian.
And with the players finished in the open-air gym, coach Johnny Sexton and head of performance David Nucifora nip in for a quick workout.
Meanwhile, Genge speaks to us after a precise sauna session – “11 minutes a day, five days a week,” he explains.
Despite the relaxed atmosphere, the Lions are on the clock.
Not only do they have to bond off the field, but on it they need to build cohesion before the clash with the world’s fifth-ranked side Argentina in Dublin on 20 June.
And this is without 15 players from Leinster, Bath and Leicester, who are preparing for domestic finals this weekend. In fact, five weeks after naming his squad, head coach Andy Farrell has yet to have his whole touring party in the same room.
“Nothing is going to be perfect on a Lions tour,” explains assistant coach John Dalziel.
“The crazy nature of the schedule; the travel; there will be injuries thrown at us. We have just got to be adaptable.
“This is what we wanted and we have to train that adaptability. That’s what the Lions are about – we will move, we will adapt and we will have no excuses.”
Genge agrees: “We’ve got a lot to learn. On and off the pitch. But the expectation is to be a fast-learner, and that is what we are doing.”
The Lions have already had to reshuffle, with Zander Fagerson’s calf injury opening the door for Bealham, and George and Asher Opoku-Fordjour joining to bolster training numbers.
Now Farrell and the management face a nervous wait before the finalists head into camp on Sunday, with Dalziel confirming some players will be asked to turn around six days later to face the Pumas.
“The Lions are going to play three games in a week. If we can’t turn around in seven days, then we won’t be able to turn around in two or three,” he adds.
“Everyone will be available, hopefully safe and sound on Sunday, and ready to go.”