As someone who spent a year trying to do things in the mech/auto sector, I have this to say -
Unless you're really good in your field or really lucky, your chances of landing a core mech/auto job are quite low.
If you are hell-bent on pursuing a career in the automotive sector, you might land a job somewhere (usually in a small Indian firm) after a long wait for a low salary (~8-10k).
In India at least, mechanical/auto/manufacturing engineers are mostly underpaid and overworked. I know mech people with 5+ years of experience who barely make 20-25k a month.
I'm not discouraging you. You may have a dream, and by all means try to pursue it, but I only wish to inform you about the not-so-rosy realities of this field. It is up to you to decide if you have the skills and dedication required to make it through.
Unlike IT, there are far too few jobs in manufacturing/R&D and far too many graduates coming out year after year to fill them up.
You could approach some consultancy companies, but be warned, if you land a job through them, they take away 50-75% of your salary and might have you locked on a bond for 2 years or so. This is how they make money.