The Reds contacted Real Madrid regarding the Colombian international and their interest hasn’t been rebuffed.
Rodriguez has been told that if he doesn’t find a club before the transfer window closes, he faces being used a substitute next season.
Chelsea were reported to be in talks with the Spanish giants over a €65m deal but that has stalled as the Blues are more concerned with finding defensive options.
Arsenal were said to be interested as well but the Gunners never made any formal move, despite Rodriguez being the brother-in-law of David Ospina, 27.
Following the 0 – 2 defeat to Burnley at the weekend, Jurgen Klopp refused to comment on whether new signings would be arriving in the transfer window. He is, however, known to be keen to strengthen his attack.
Sources close to Real Madrid president, Florentino Perez, have questioned whether Liverpool have the resources to meet the Spanish giants £51m valuation on the player.
Real paid £71m to AS Monaco in 2014 for the Colombian international but are prepared to take a loss on his sale as they look to balance the books.
They are set to serve a two-window transfer ban beginning on 1st September for breaching regulations over the signing of youth players.
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