Italian newspaper Corriere dello Sport stated that Bayern representatives met with Vlahovic's father "in the past few days", although it remains unclear what progress, if any, was made during the meeting.
The 24-year-old forward's future at Juventus is becoming increasingly uncertain. Negotiations over a contract extension have reportedly stalled, leaving the situation unresolved as the end of the season approaches.
Vlahovic is believed to be monitoring interest from several European clubs, with Bayern Munich and FC Barcelona both mentioned as potential destinations as they look to strengthen their attacking options.
Juventus, meanwhile, are said to have set a clear deadline to resolve the striker's situation before the end of May, aiming to avoid prolonged uncertainty heading into the transfer window.
Bayern are expected to be active in the market this summer, with Nicolas Jackson set to return to Chelsea once his loan spell ends, leaving a gap in their forward line.
Newcastle United winger Anthony Gordon has also been strongly linked with a move to Munich, but the emerging situation around Vlahovic could shift Bayern's priorities as they weigh up their attacking options for next season.
For now, the striker's future remains open - but the interest from Germany is clearly gathering pace.
Former Manchester United defender Jaap Stam has backed the idea of a swap deal involving Marcus Rashford and Rafael Leao as uncertainty continues to surround Rashford's long-term future.
SSC Napoli have missed the chance to secure UEFA Champions League qualification after a dramatic late collapse saw them lose 3-2 to Bologna FC at the Stadio Diego Armando Maradona on Monday.
Bayern Munich chief Karl-Heinz Rummenigge has called for urgent changes to football's handball law after his side's controversial Champions League exit against Paris Saint-Germain.
Bayern Munich sporting director Max Eberl has admitted the club remains locked in difficult contract talks with Konrad Laimer, with negotiations currently stalled over differing expectations on a new deal.
