"He stated that the close and mutually beneficial India-Malaysia ties are based on the strong foundation of shared values, interests and vibrant people-to-people relations," it stated.
Last week, Mahathir, who governed for more than two decades became, at the age of 92, became the world's oldest elected leader.
He came out of retirement and defected to the opposition to take on and beat former protege Najib Razak. His historic win ousted the Barisan Nasional (BN) coalition, which had been in power since independence in 1957.
The country is also home to around 2.7 million people of Indian origin.
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