"The surgery that Thom required -having sustained damage to his neck - went well," explained Dr Robson.
"Thom had sustained slippage to one of the vertebrae and that required to be eased back into place. The surgeons are pleased with his progress, Thom has movement in his arms and legs and his family have been to visit him today, as have a number of his Glasgow Warriors team-mates.
"He will remain at the hospital today and if he continues to progress he will be allowed to travel back to Scotland into the care of the Glasgow Warriors medical team later this week.
"Chris will also remain in hospital today after the damage he sustained to his right kidney. Fortunately he does not require surgery at present.
"In effect he has a massive bruise in the middle of his kidney but that will gradually repair itself and the medical team are also pleased with his progress."
In Paterson's case he could be out of action for up to ten weeks.
Another Scotland back, Rory Lamont, will also be monitored by medical staff after suffering knee ligament damage in yesterday's game.