This is according to reports from Germany cited by talkSPORT, which claim that Montoya - who only signed a new deal at the Camp Nou last month and is credited by such sources as a long-term Reds target - is also a target for Bayern, who will consider making an offer at the end of the season.
The need for defensive reinforcements at the Allianz Arena was made plainly and painfully clear last night, with Pep Guardiola's Bayern Munich having been trounced by the might of Real Madrid in their Champions League semi-final second-leg clash.
Liverpool - who suffered a disappointment of their own on Sunday as a surprisingly lackluster 2-0 defeat to Chelsea at Anfield raised questions over their resolve to go on and win the Premier League title for the first time in over two decades - have proved devastating going forward this season, but remain somewhat weak at the back with Brendan Rodgers having been without the likes of Jose Enrique for the majority of the season to date.
While the new four-year deal handed to Montoya suggests that Barcelona are intent on keeping him for the foreseeable future, it is worth noting that the 23-year-old has played just 13 games in La Liga so far this season and is hardly considered first-choice under Tata Martino.
The promise of first-team football could presumably tempt the £10 million-rated right-back into pondering a move away from the Catalans, with both Bayern Munich and Liverpool potentially attractive destinations given their respective domestic successes this season.