The Baleno, which is produced only in India, has already become the first model to be exported by Maruti to its parent Suzuki's home market, Japan.
SMC will showcase India-made Baleno in the upcoming Geneva International Motor, which will be open to the press on March 1 and 2 and then to the general public from March 3-13.
"The shipments of the Baleno has started from last week," a company official told PTI.
"The model will go on sale in Europe in this spring," the company said in a statement.
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MSI, an arm of SMC, launched the Baleno in India last year. It will be launched in Japan next month.
The first consignment comprised 1,800 units and was shipped from Mundra Port in Gujarat, where SMC is setting up a manufacturing plant to supply cars to its Indian arm.
Maruti also plans to export the Baleno to over 100 global markets. The company and its supplier partners have invested Rs 1,060 crore in the development of Baleno, which is being manufactured at the company's Manesar plant.
Baleno competes with the likes of Hyundai i20, Honda Jazz and Volkswagen Polo and is sold through the company's new premium network of showrooms, Nexa.