The company's domestic sales stood at 32,102 units during the month, up 0.3% from 32,010 units in May 2012, HMIL said in a statement.
Exports during the month were up by 4.6% to 24,754 units from 23,659 units in the same month last year, it added.
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Commenting on the sales, HMIL Senior Vice-President, Sales and Marketing Rakesh Srivastava, said: "Hyundai has been able to maintain positive growth and will gain in market share in a market that is at the near bottom level and is expected to move into positive growth in the coming months as the demand for the petrol cars is improving."
Describing the market situation as "challenging times" the company has been able to increase export volumes and we continued to get strong demand from the non-European markets.