Describing IIM-C as one of the best of its kind in the world, Cameron spoke about the city's "great tradition of education" and said many British centres of learning were keen to partner Indian universities.
"We have the option of not only Oxford and Cambridge but others also, many of them looking to start up and partner Indian universities," the prime minister said.
Hoping that India will continue to open up its economy, Cameron said it would make it easier for British investment in infrastructure, universities and insurance.
"Many of these areas are championed here in Kolkata."
