According to AS, Bayern are following Llorente's situation closely. The versatile 31-year-old is under contract with Atletico Madrid until June and could negotiate with other clubs from January if he does not sign a new deal.
Atletico remain keen to extend his contract, however, with Llorente established as one of Diego Simeone's captains and reportedly settled in Madrid.
Bayern Munich are also considering their options in goal. Manuel Neuer and Sven Ulreich both have contracts expiring next summer, leaving uncertainty over the position beyond the current campaign.
According to the Bayern Insider podcast from Bild, Augsburg's Finn Dahmen is regarded as an attractive option.
The 28-year-old is under contract until 2027, meaning Bayern could potentially sign him as a free agent next summer if his situation remains unchanged.
Bayern have also discussed Marvin Schwäbe internally. The 31-year-old goalkeeper's contract with Cologne also expires next summer.
The club could therefore have two experienced goalkeeper options available on free transfers as it considers the future of its position.
Meanwhile, Bayern are reportedly prepared to part ways with Hiroki Ito and Sacha Boey.
According to Kicker, Ito could be sold in January or next summer, a year before his contract expires. The Japanese defender joined from Stuttgart for €23.5m but has struggled for consistency amid injury problems.
Boey, who arrived from Galatasaray for €30m in January 2024, is also allowed to leave. Bayern's difficulty in both cases is finding suitable buyers.
If both players depart, Bayern would need to strengthen their defence to cope with the demands of a season involving multiple competitions.