Former Anfield hero has just a year to run on his current contract.
The experienced midfield maestro moved to the Allianz Arena last summer and made 38 starts for the German giants in his debut campaign.
The 33-year-old spent five seasons at Anfield and became a Liverpool hero before he was sold to Real Madrid in 2009 and the Daily Express state that the Merseyside outfit have been alerted by the fact that Alonso has a year to run on his current contract.
Over the course of his time at Liverpool the cultured midfielder secured a Champions League triumph and two Premier League runners-up finishes, racking 210 appearances and scoring numerous iconic goals, and though Alonso is in the latter stages of his career it’s clear the Spanish international still has a lot to offer.
Pep Guardiola has already lost the services of one midfield regular, Bastian Schweinsteiger having joined Man United, and the loss of another could prove problematic.
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Brendan Rodgers saw Steven Gerrard leave for the LA Galaxy in the summer and moved to improve his midfield options by signing James Milner from Man City.
Fellow central midfield options Lucas Leiva and Joe Allen have struggled with fitness and form in recent seasons though Rodgers has the alternative of using young German Emre Can in a holding role in the upcoming campaign.