Professor Alice Gast said she wants to send out a message that Indian students would be "warmly welcome" in the UK.
A squeeze on the post-study work visa route, which had in the past allowed Indian students to work after completing their studies in Britain, has been widely seen as the reason for the sharp decline in numbers.
The Tier 1 (Graduate Entrepreneur) visa can be accessed by graduates from outside the EU who have been officially endorsed as having a genuine and credible business idea.
"What I do not want to miss out on are those entrepreneurial students, who would not have that salaried job but would be adding greatly in a smaller, medium sized enterprise or even in trying to set up a start-up," she said, in an attempt to stem the falling numbers choosing Britain as their preferred destination for higher education.
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She has been an outspoken advocate of more Indian student friendly norms and had written an open letter to The Times in November during Prime Minister Narendra Modi's UK visit, warning the UK "must think carefully about the messages it sends to India's next generation or its relationship and influence with the world's largest democracy will wane".
The number of Indian students' first-year enrolments at UK universities fell by 10 per cent from 11,270 to 10,125, the figures by the UK's Higher Education Statistics Agency said.
"There is a wonderful and exciting energy and we have always got great students in science, engineering and business from India, disciplines at which Imperial excels. We have very wonderful alumni who look back very fondly on their time at Imperial and are also very eager to further the relationship - through companies, research, or exchange students," she said.