The alliance with Fiat helped Chrysler to come out of bankruptcy protection last week.
When asked whether the company would bring Chrysler brands to India, Fiat Group Chief Operating Officer (International Operations) Filverio Bonfiglioli said, "why not..." he said after the launch of Fiat's premium small car Grande Punto in both petrol and diesel variants in the Indian market.
However, Bonfiglioli did not give further details about bringing Chrysler into India.
The major car brands of Chrysler are Avenger, Caliber, Challenger and Viper.
In the trucks category, the well-known names from the Chrysler stable include Dakota and Sprinter.
Chrysler also has significant presence in the mini vans section with brands like Nitro, Durango and Grand Caravan.
Meanwhile, as part of the strategic alliance, Fiat would have a 20 per cent equity stake in Chrysler in return for providing technology to manufacture smaller cars.