The People says Reina has emerged as a target for Bayern Munich chief Pep Guardiola as he searches for a new back-up keeper.
Reina's representatives are aware their man is under consideration, but contact has yet to reach Anfield.
Reina, 31, wants a move back to Spain. He said: "It's normal that over the years you want to return home.
"But the big Spanish teams are covered in my role."
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