Tea Katai made the since-deleted posts on her Instagram story this week, the Galaxy confirmed Wednesday in a statement that called the posts "racist and violent."
The team says its meeting with Katai will "determine next steps."
Tea Katai's posts included a profane call, written in Serbian, and threats against protesters.
Katai got off to an impressive start to his MLS career, with 12 league goals in his debut season for the Fire, but his production slumped last year, leading Chicago to decline its team option for 2020. He scored 18 goals in 62 appearances in his two seasons with Chicago.
Katai spent the first eight years of his pro career in Europe, including 69 games with Serbian powerhouse Red Star Belgrade. He has made nine appearances for Serbia's national team, including three last year in Euro 2020 qualifying matches.
"The LA Galaxy strongly condemned the social posts and requested their immediate removal," the statement continued. "The LA Galaxy stands firmly against racism of any kind, including that which suggests violence or seeks to demean the efforts of those in pursuit of racial equality. The LA Galaxy stand with communities of color, and especially the Black community, in the protests and fight against systemic racism, social inequality, bigotry and violence."
Katai started the first two games of the current MLS season for the Galaxy, who expected him to become a key part of their attack alongside Javier "Chicharito" Hernandez and Cristian Pavon. MLS play was then suspended due to the coronavirus pandemic. Several Galaxy players returned to the club's training complex two weeks ago to begin individual workouts and rehabilitation.
MLS and its players' union agreed to a six-year labor contract on Wednesday. The teams are expected to return to competition with a five-week tournament this summer in Florida.