No sugar-coating—just the facts.
You're from an overrepresented applicant pool (Indian engineering male), so the competition is significantly tougher.
Look at the class profiles of your target schools, especially the median/average GMAT score and the typical amount of
full-time work experience.
Many top MiM programs do
not count internships as full-time work experience, so don't assume your internship experience will be viewed the same way.
A profile with a
675+ GMAT Focus score and around 2 years of full-time experience would generally be much more competitive for schools like LBS, HEC Paris, INSEAD, ESSEC, ESCP, and Bocconi.
Also, don't fall for the marketing claims of admissions consultants who tell everyone they have a "great chance." If you decide to use a consultant, choose one with a proven track record and recommendations from seniors or alumni you trust.
That said, if your goal is these schools, you're not necessarily out of the race—but you should apply with realistic expectations and strengthen your profile as much as possible before applying.