The two said they were treated with respect by the abductors and not tortured in captivity.
"They asked whether we are Muslim or non Muslim... As they came to know we were non-Muslims they detained us...They did not do any thing, they did not harm, even they did not touch me or any of us," Vijay Kumar on landing at Bengaluru International Airport told reporters.
"They respected us, they told us if you were teachers of the University...You have taught our students, so we are releasing you. You can go to India and follow Islam," he said.
Four Indian teachers working at University of Sirte in Libya, including two from Andhra Pradesh and Telangana, were kidnapped in Libya allegedly by the ISIS while returning to India from Tripoli on July 29.
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The Indian government had on July 31 said it had secured the release of two of them - Lakshmikant and Vijay Kumar.
Efforts were underway to get the other two freed.
"Four of us were together (during captivity). They released me and Vijay Kumar. I have been told that Gopikrishna and Balram are safe. I am requesting them that they too are released," he said.
Both Lakshmikant and Vijay Kumar were received by their family members at the airport.