Thiago Galvão and Paulista teammate Ricardinho came to Serbia in January 2011 and played 11 matches with newly promoted FK Sloboda Point Sevojno until the end of the season.

Upon joining Sloboda in 2011, Thiago Galvão spent the first season adjusting to the league in Serbia, during which he didn't score a single goal in the 11 games he appeared in.

In the first half of the 2011–12 season, he and Filip Kasalica (before he departed to join Red Star Belgrade) were listed as the most formidable striker partnership in the entire league.

For the second season in a row Galvão was included in the league's most statistically effective strike partnership, this time with Predrag Ranđelović who replaced Kasalica upon his departure to Red Star Belgrade.

The 2013 season started slowly with Thiago Galvão having a goalless drought for six straight games, due to still recovering from injury, and then he scored his first hat-trick for the club on 25 September, against Teleoptik in the Serbian Cup.