The 30-year-old featured for the entire 90 minutes of Sweden's second-leg clash, as they held Italy to a 0-0 draw to book their place in Russia next summer with a 1-0 aggregate win against the 2006 World Cup champions.
However, the victory was marred by Lustig's actions during the national anthems before the second leg had even kicked off, with The Sun claiming the defender called Italy fans "f****** c****" in his native language.
Sweden's national anthem was booed and jeered by the Italian home support at the San Siro, which angered the Celtic ace enough to explode with such an outburst.
In response, Lustig took to Instagram to apologise to fans for his actions. Posting in Swedish, the lofty defender posed a lengthy paragraph explaining his loss of composure. It translates as:
"Monday was one of the biggest evenings I've experienced in my career," Lustig said. "Taking out Italy on their home turf is still like a dream and getting to do it together with this gang is something that cannot be described.
"Unfortunately, something happened before kick-off, which I would like to comment on. The Italian audience booed during the Swedish national anthem and under the enormous press, I lost my composure. I got angry and screamed out of frustration at the audience.
"I chose a word that I regret in retrospect. It wasn't okay, it isn't okay and I'm sorry. I've been feeling very bad about this in the last few days. Now I hope that we can learn lessons from this and help to remove these bad words by means of my bad example. Love."
Måndagskvällen var en av de största kvällarna jag upplevt i min karriär. Att slå ut Italien på sin hemmaplan är fortfarande som en dröm och att få göra det tillsammans med detta gäng är något som inte går att beskriva. Tyvärr hände en grej innan avspark som jag vill kommentera. Italienska publiken buade under den svenska nationalsången och under den enorma pressen så tappade jag fattningen. Jag blev arg och skrek rakt ut i frustration mot publiken. Jag valde ett ord jag i efterhand ångrar enormt mycket. Det var inte okej, det är inte okej och jag ber om ursäkt. Jag har mått väldigt dåligt över detta de senaste dagarna. Nu hoppas jag att vi kan dra lärdom av detta och hjälpas åt att få bort dessa dåliga ord med hjälp av mitt dåliga exempel. Kärlek ❤️
Lustig is expected to start for Brendan Rodgers' Celtic side on Saturday afternoon, as they face Ross County in the Scottish Premiership away from home.
Rodgers will be looking for his side to increase their unbeaten run of matches in domestic football to 64, with three points enough to see them go six points clear at the top of the table if Aberdeen and Hibernian drop points.