I think India's economy has plenty of more room to grow. There is 1.2 bn people there. developing nation economies always grow and incredible rates. if you believe in Ricardian Equivalence, India's economy catching up to the western world is definitely not an impossiblity
The biggest problem in India is corruption, and without paying money, no work can be done by government officers. For each everything most of these people expect money, and if you don't pay, then you work never happen. Now government should do something about this corruption otherwise it will be hard to open up new businesses. Yes, currently they are the best and doing better than China but not sure so easy they can overtake western countries economy.
Corruption always exists even in the developed country but the rate of corruption is low that doesn't affect the government's economy that much, it's really hard to eradicate corruption to its root if you're expecting the government to do it, what if the government itself is the one who has done corruption? Not talking about India only though, it's for all those countries in this world which still have high rates of corruption that affect their economy directly.
And one thing, it's really possible for India to overtake the western's economy, just if India keeping on growing their economy this significant.