If you look at Singapore's big four law firms Rajah and Tann, Drew and Napier, Wong Partnership and Allen and Gledhil's websites, you will find more of their partners come from Nottingham than Bristol (although not a significant difference).
Nottingham has always been held in high regard within Singapore's law fraternity. Bristol too, perhaps in part due to Justice LP Thean. That said, being older, perhaps a little more 'elitist' than Nottingham, in their way of keeping their enrolment small (on the contrary, Notts is quite interested in expansion), Bristol University as a whole has a little more prestige attached to it than Nottingham. Then again, these things could well change in the next couple of years.