The Romania international has been linked with Barcelona and Atletico Madrid this season.
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Pro Sport says Liverpool are now also getting involved.
With Trent Alexander-Arnold appearing to be on his way to Real Madrid as his contract runs down, Ratiu is under consideration at Liverpool as a direct replacement at right-back.
The 26 year-old is tied to Rayo to 2028 and rated in the €25m class.
Along with Ratiu, Liverpool also have Bayer Leverkusen fullback Jeremie Frimpong under consideration.