Tiémoué Bakayoko said he and fellow Milan midfielder Franck Kessié, both of whom are Black, were the targets of derogatory chants from Lazio supporters.
The Swedish star, who turns 40 in three weeks time, rolled home the simplest of finishes from Ante Rebic's low cross in the 67th minute.
Earlier Lazio sent out a tweet showing a hand holding a lit cigarette, track suit tops and a simple drawing of a bank.
Correa opened the scoring for Lazio with only a minute on the clock at the Stadio Olimpico in Rome and added the second five minutes after the break.
Serbia's former coach Slavoljub Muslin paid with his job for failing to select Milinkovic-Slavic for the national side.
Late goals from captain Mauro Icardi and Matias Vecino ensured Inter return to Europe for the first time since the 2011-2012 season, along with Juventus, Napoli and Roma.
Serie-A: Juventus snowed off, Lazio go third as AC Milan register first away win against Roma in six years
Ciro Immobile and Sergej Milinkovic-Savic continued their goal-scoring sprees to lift Lazio into third, as Patrick Cutrone and Davide Calabria gave AC Milan victory.
Laxalt's late winner moved former Italian giants Genoa seven points clear of the relegation places while preventing third-placed Lazio from further consolidating a Champions League qualification spot.
Jovetic, who has signed a four-year deal with Monaco, started out with Partizan Belgrade before joining side Fiorentina.