The shooter was a 51-year-old navy veteran.
Foreign Minister Sushma Swaraj tweeted "I am shocked" and said she has promised assistance to Mr Kuchibhotla's family including helping to bring the 32-year-old's body back to Hyderabad.
Alok Madasani, another Indian injured in attack, has been released from hospital.
The US embassy in New Delhi condemned the shooting. "The United States is a nation of immigrants and welcomes people from across the world to visit, work, study, and live," US Charge d'Affaires MaryKay Carlson said in a statement.
Mr Kuchibhotla was catching up on Wednesday evening over a drink with his friend in Olathe, the fourth-largest town in Kansas with a population of about 130,000. Adam Purinton then started shouting at them calling them "Middle Eastern" and warning "get out of my country" before firing multiple rounds.
Mr Purinton managed to escape in the confusion that followed the shooting and was caught in Missouri over five hours later, where he told a staffer at a local bar that he had shot two Middle-Eastern men. The bartender called the police.
Shooter Adam Purinton, a 51-year-old Navy veteran, thought the two Indians were "middle-eastern"
Srinivas Kuchibhotla worked at an American multinational that makes GPS systems in Kansas. He joined the company in 2014. His wife, Sunayana Dumala, works in a technology company in the area.
Austins Bar & Grill where Adam Purinton shot two Indian engineers, Srinivas Kuchibhotla and Alok Madasani
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