Australian Foreign Minister Julie Isabel Bishop, who is in India for four-day visit, is scheduled to inaugurate new Australian Consulate in Chennai on Wednesday.
Bishop earlier attended the 10th India-Australia Foreign Ministers Framework Dialogue and also met Finance Minister Arun Jaitley.
Trade between Australia and India stands at around 15 billion dollars a year, or just a tenth of that between Australia and China.
Australia and India pushed for a free trade pact during Indian Prime Minister Narendra Modi's state visit to Canberra in September last year.
Australian Prime Minister Tony Abbott also sealed a civil nuclear deal to sell uranium to India and offered to increase supplies of conventional fuel to help it overcome chronic shortages.
Bishop will leave the country on Thursday morning.