"Relations with India are at the top of the priorites of UK's foreign policy - @David_Cameron to PM @narendramodi," MEA official spokesperson Syed Akbaruddin tweeted.
"Your's is a very inspiring vision, UK wants to partner in any way we can - PM @David_Cameron to PM @narendramodi," he added in his tweet.
Prime Minister Modi, who arrived in Brisbane to attend the G-20 Summit, earlier in the day visited the Queensland University of Technology. He is later scheduled to meet his Japanese counterpart Shinzo Abe.
After attending the G-20 Summit in Brisbane, Prime Minister Modi is scheduled to travel to Sydney, where he will attend a community reception and address the Indian Diaspora.
The Prime Minister will then travel to Canberra and address the special joint sitting of the Australian Parliament on November 18. He is also to address a community event in Melbourne before travelling to Fiji.