The move comes after UKinbound, which represents more than 370 businesses across the UK, called for the introduction of a two-year multi-entry visa for India, which would cost £87.
UKinbound chief executive Deidre Wells said: “Almost a year ago, the former prime minister introduced a similar concession for the important Chinese market and almost overnight, our members saw a significant increase in the number of enquiries from this all important market.
"In a post-Brexit world where new trade links with countries outside the EU are more important than ever, it is critical that we seize the opportunity to develop new business with growing markets such as India.”
Theresa May is currently in Delhi in an attempt to set the foundations for the UK’s first trade deal post-Brexit.
She insisted the UK was already able to attract the “brightest and the best” from outside the EU.
"As we leave the EU, we want to ensure that the UK remains one of the most attractive countries in the world to do business and invest," May added.
The prime minister has rejected calls to relax Indian visa rules, insisting the UK has a “good system” for applications.
However India’s prime minister Narendra Modi told a technology summit in Delhi he wanted to encourage "greater mobility" for its young people in education, the BBC reported.
"Education is vital for our students and will define our engagement in a shared future. We must therefore encourage greater mobility and participation of young people in education and research opportunities."
The founder of Cobra Beer Lord Bilimoria also said the number of Indians attending UK universities had halved in the past five years as a result of restrictions on staying in the UK after completing their studies.
Bilimoria added that "movement of people" would form a key part of any trade negotiations.