Can you name one Bollywood film that this has happened to?
No. Why do I have to? Just because it hasn't happened yet doesn't mean it'll never happen.
"Open your mind real wide!"
I'm not saying you have to, it was a genuine question. It's an odd comment to make, I think. I couldn't think of any examples myself and thought you might have said that based on something you'd seen and/or heard of yourself.
Hollywood won't pick up Bollywood films for a few reasons, the biggest being that the construction of Bollywood cinema is far, far different to Western cinema mainly because the audience expect radically different things when they go to see that type of film.
So much would need to be changed that it would become a completely different film.
EDIT: Granted, this particular film is part of a current movement in Indian cinema where they're attempting to Westernise films, but the cultural markers of this kind of cinema still remain intact.
What did I just watch
Are there actually any Indian films that don't suck?
Bandit Queen.Are there actually any Indian films that don't suck?
Are there actually any Indian films that don't suck?
Hasn't stopped Hollywood (ie The Film Industry) outsourcing VFX production to India though. It seems to be a growing trend as it's obviously cheaper to employ people in India for a fraction of what you can elsewhere.
Are there actually any Indian films that don't suck?

Are there actually any Indian films that don't suck?
.I did an extensive week long search once and failed to find any unfortunately.
It's a cultural thing. You just need to get used to watching them. They're not made for Western audiences, so all the things we expect in a film are missing. Rang De Basnti was a film that they put forward for the Oscars a few years back and is worth checking out. It's a lot less Bollywood in places, it's a bit "darker" than the usual stuff.
But it's still nearly three hours long and it didn't get selected for Oscar nominations.
There are a number of Indian films that have popped up in recent years that more Western in flavour, though. Ones that have dispensed with the singing and dancing and such like.
Despite taking classes in Popular Alternatives to Hollywood in my course, I still find them very painful to sit through.
You must have been looking in the wrong place.