"It is premature for me to pronounce on that because it is not over yet," Prime Minister Anerood Jugnauth said.
Asked whether the talks on the DTAA were on, Jugnauth replied, "Yes. They are not over yet."
"I can't commit a precise time limit," the Mauritius Prime Minister said.
India has concerns that Mauritius, which is one of the top sources of foreign direct investments into the country, is being misused for round-tripping of funds.
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The negotiations are part of India's efforts to sharpen its focus to locate and bring back illegal funds parked by its citizens in global tax havens.
Jugnauth, who was here for the IndiaAfrica Summit, said he had a very "fruitful and crucial" meeting with Prime Minister Narendra Modi where the two leaders discussed matters of mutual collaboration.
Pointing out that Mauritius is re-inventing itself by exploring new vistas of economic cooperation, Jugnauth said, "My government is taking bold steps to increase air connectivity to the Eastern Southern African nation.
Opening of Board of Investment Office (BoI) in India, Mauritius government's investment promotion agency, will be the focal point for trade and investment between the two countries, Jugnauth said.