The company's Indian arm, Toyota Kirloskar Motor (TKM), said in a statement on its website that it has initiated a recall campaign this month for Toyota Corolla Altis Diesel.
"The campaign is for Corolla Altis Diesel manufactured between August 3, 2012 and February 14, 2013," it said.
When contacted, an official of TKM said the recall would affect about 1,100 units of the model sold in India.
"A potential aberration on the left or right side of the driveshaft has been observed in a few cases. We have decided to proactively inspect and repair/replace the drive shafts," the company said, adding it was a precautionary measure.
It further said the rectification might take about two hours.
Last week Toyota's compatriot Nissan had announced that it would recall 22,188 units of its small car Micra and sedan Sunny in India due to faulty braking system, as part of a global exercise to rectify the problem.
The company's wholly-owned subsidiary Nissan Motor India will recall the vehicles, which were produced between June 2012 and March 2013.
Earlier in April, Toyota had recalled a select lot of its premium sedan Corolla sold in India, affected by its global recall of 17.3 lakh vehicles to rectify defective airbags.
It had impacted Corolla cars produced between January 2003 and June 2003 in India.
In 2011, Toyota had recalled 41,000 units of its sedan Etios and small car Liva in India to replace faulty inlet pipe to fuel tank.