DNA India reports on growing congestion in Mumbai and how congestion charging has been raised as a possible solution. The city has faced a 7% increase in vehicles in each of the past seven years and has been mulling various demand management options including a 200% tax on a second family car. Whilst it is clear Mumbai can't sustain every increasing growth in vehicle usage and ownership, the point is that it will stop eventually, and having blanket taxes on home ownership will open ample opportunities for evasion. The obvious one will be to register vehicles at addresses of family members without cars.
The article does talk about congestion charging elsewhere, not representing the examples it uses well (Singapore has moved well beyond the Area Licensing Scheme and "value pricing" in the US is HOT lanes, which offers little in this context).
Certainly there is wider interest at the central government level in India about congestion charging, but it is a local matter and as such it seems unlikely that this will be implemented in advance of other measures, and in fact I wouldn't do it before the other measures given how important they will be in helping address the problem.