Britain should not wait until it leaves the European Union to develop deeper trade ties with India, Prime Minister Theresa May said in New Delhi on Monday, promising to ease access for Indian business travelers but not for its students.

Making her first visit to India since taking office in July, May described the potential of the British-Indian relationship as "limitless" and announced a scheme to make it quicker and easier for Indian business travelers to clear passport control.

"I will be discussing with Prime Minister (Narendra) Modi how we can increase the detail and depth of our trade and investment discussions, and identify what more we can do, now, to unleash our businesses, industries, exporters and investors," May told an India-U.K. Tech Summit in New Delhi at the start of a two-day trip that will take her on Tuesday to the tech hub of Bengaluru.