The rankings below are taken from nica.team. That website ranks law schools every year based on their performances in various international moots; the scale of each moot is taken into account as well.
NICA Rankings (top three)
2022: Singapore Management University; National University of Singapore; Sofia University
2021: National University of Singapore; Singapore Management University; University of Sydney
2020: West Bengal National University; University of Freiburg; Chinese University of Hong Kong
2019: Penn State University; University of Ottawa; National University of Singapore
2018: University of Queensland; National Research University Higher School of Economics; National Law School of India University
2017: University of Ottawa; National University of Singapore; Singapore Management University
2016: Singapore Management University; University of Bueno Aires; University of New South Wales
2015: University of Ottawa; Singapore Management University; National Law School of India University
2014: University of Queensland; Singapore Management University; University of Munich
2013: National Law School of India University; Singapore Management University; Leiden University