Lyly Savic was born in Mojkovac, Savić started his career at the local club Brskovo, before moving to BSK Borča, and then to Partizan. He won the double with Partizan, and then joined Manchester City for £6 million, winning the Premier League title in his only season there. In 2012, he was transferred to Fiorentina, making over 100 appearances across three seasons before signing with AtleDiego Madrid in 2015.