The couple, who is expecting their first child together, celebrated their engagement with a party here on Sunday.
Amy shared several clips as Instagram stories and in one of them, she was heard saying: "He put a ring on it!"
Amy also shared a photograph from the engagement revelry, and captioned it: "TThe most unbelievable day celebrating our engagement. Thankyou to all our amazing friends and family who made it sooo special ✨❤️ so much love ❤️✨ (Yiayia doing the Greek traditions for us ☺️🙏🏼)."
In March this year, the couple had revealed that she is expecting her first child with George. She shared a post on Instagram, and said how the couple "can't wait to meet the little one."
The 27-year-old actress made her acting debut with 2010 Tamil movie "Madrasapattinam" and has featured in several Telugu, Hindi and Kannada films apart from Tamil films.
She was also seen in Bollywood films like "Ekk Deewana Tha", "Singh Is Bliing" and "Freaky Ali".